Updated jQuery marquee plugin by Remy Sharp to handle window resize events. This has been tested only on horizontal right-to-left scrolling text. Theoretically it should work for vertical scrolling and left-to-right, but I have no use for that so I have not tested that behavior.

jQuery-based-marquee.js

/**
 * author Remy Sharp
 * url http://remysharp.com/tag/marquee
 *
 * Ralph Jennings. 4/5/2013.
 * Added support for "resize" event. If triggered, marquee is resized according to
 * its parent's width and scroll position is updated accordingly.
 */

(function ($) {
    $.fn.marquee = function (klass) {
        var newMarquee = [],
            last = this.length;

        function resizeMarqueeRedux ( marqueeRedux ) {
            var $marqueeRedux = $( marqueeRedux ),
                    state = $marqueeRedux.data('marqueeState' ),
                    $parent = $( marqueeRedux.parentElement ),
                    horizontal = /scrollWidth/.test(state.widthAxis ),
                    origStateWidth = state.width,
                    newStateWidth = horizontal ? $parent.width() : $parent.height();
            // resize the widget
            if (horizontal) {
                $marqueeRedux.width(newStateWidth);
                $marqueeRedux.find('> div').css('padding', '0 ' + newStateWidth + 'px');
                state.width = newStateWidth;
            } else {
                $marqueeRedux.height(newStateWidth);
                $marqueeRedux.find('> div').css('padding', newStateWidth + 'px 0');
                state.width = newStateWidth;
            }
            // update the scroll amount so the text doesn't jump all over the place (stays in the same relative position top-left)
            state.last += (newStateWidth - origStateWidth);
            marqueeRedux[state.axis] = state.last;
        }

        // works out the left or right hand reset position, based on scroll
        // behavior, current direction and new direction
        function getReset(newDir, marqueeRedux, marqueeState) {
            var behavior = marqueeState.behavior, width = marqueeState.width, dir = marqueeState.dir;
            var r = 0;
            if (behavior == 'alternate') {
                r = newDir == 1 ? marqueeRedux[marqueeState.widthAxis] - (width*2) : width;
            } else if (behavior == 'slide') {
                if (newDir == -1) {
                    r = dir == -1 ? marqueeRedux[marqueeState.widthAxis] : width;
                } else {
                    r = dir == -1 ? marqueeRedux[marqueeState.widthAxis] - (width*2) : 0;
                }
            } else {
                r = newDir == -1 ? marqueeRedux[marqueeState.widthAxis] : 0;
            }
            return r;
        }

        // single "thread" animation
        function animateMarquee() {
            var i = newMarquee.length,
                marqueeRedux = null,
                $marqueeRedux = null,
                marqueeState = {},
                newMarqueeList = [],
                hitedge = false;
                
            while (i--) {
                marqueeRedux = newMarquee[i];
                $marqueeRedux = $(marqueeRedux);
                marqueeState = $marqueeRedux.data('marqueeState');
                
                if ($marqueeRedux.data('paused') !== true) {
                    // TODO read scrollamount, dir, behavior, loops and last from data
                    marqueeRedux[marqueeState.axis] += (marqueeState.scrollamount * marqueeState.dir);

                    // only true if it's hit the end
                    hitedge = marqueeState.dir == -1 ? marqueeRedux[marqueeState.axis] <= getReset(marqueeState.dir * -1, marqueeRedux, marqueeState) : marqueeRedux[marqueeState.axis] >= getReset(marqueeState.dir * -1, marqueeRedux, marqueeState);
                    
                    if ((marqueeState.behavior == 'scroll' && marqueeState.last == marqueeRedux[marqueeState.axis]) || (marqueeState.behavior == 'alternate' && hitedge && marqueeState.last != -1) || (marqueeState.behavior == 'slide' && hitedge && marqueeState.last != -1)) {                        
                        if (marqueeState.behavior == 'alternate') {
                            marqueeState.dir *= -1; // flip
                        }
                        marqueeState.last = -1;

                        $marqueeRedux.trigger('stop');

                        marqueeState.loops--;
                        if (marqueeState.loops === 0) {
                            if (marqueeState.behavior != 'slide') {
                                marqueeRedux[marqueeState.axis] = getReset(marqueeState.dir, marqueeRedux, marqueeState);
                            } else {
                                // corrects the position
                                marqueeRedux[marqueeState.axis] = getReset(marqueeState.dir * -1, marqueeRedux, marqueeState);
                            }

                            $marqueeRedux.trigger('end');
                        } else {
                            // keep this marquee going
                            newMarqueeList.push(marqueeRedux);
                            $marqueeRedux.trigger('start');
                            marqueeRedux[marqueeState.axis] = getReset(marqueeState.dir, marqueeRedux, marqueeState);
                        }
                    } else {
                        newMarqueeList.push(marqueeRedux);
                    }
                    marqueeState.last = marqueeRedux[marqueeState.axis];

                    // store updated state only if we ran an animation
                    $marqueeRedux.data('marqueeState', marqueeState);
                } else {
                    // even though it's paused, keep it in the list
                    newMarqueeList.push(marqueeRedux);                    
                }
            }

            newMarquee = newMarqueeList;
            
            if (newMarquee.length) {
                setTimeout(animateMarquee, 25);
            }            
        }
        
        // TODO consider whether using .html() in the wrapping process could lead to loosing predefined events...
        this.each(function (i) {
            var $marquee = $(this),
                width = $marquee.attr('width') || $marquee.width(),
                height = $marquee.attr('height') || $marquee.height(),
                $marqueeRedux = $marquee.after('<div ' + (klass ? 'class="' + klass + '" ' : '') + 'style="display: block-inline; width: ' + width + 'px; height: ' + height + 'px; overflow: hidden;"><div style="float: left; white-space: nowrap;">' + $marquee.html() + '</div></div>').next(),
                marqueeRedux = $marqueeRedux.get(0),
                hitedge = 0,
                direction = ($marquee.attr('direction') || 'left').toLowerCase(),
                marqueeState = {
                    dir : /down|right/.test(direction) ? -1 : 1,
                    axis : /left|right/.test(direction) ? 'scrollLeft' : 'scrollTop',
                    widthAxis : /left|right/.test(direction) ? 'scrollWidth' : 'scrollHeight',
                    last : -1,
                    loops : $marquee.attr('loop') || -1,
                    scrollamount : $marquee.attr('scrollamount') || this.scrollAmount || 2,
                    behavior : ($marquee.attr('behavior') || 'scroll').toLowerCase(),
                    width : /left|right/.test(direction) ? width : height
                };
            
            // corrects a bug in Firefox - the default loops for slide is -1
            if ($marquee.attr('loop') == -1 && marqueeState.behavior == 'slide') {
                marqueeState.loops = 1;
            }

            $marquee.remove();
            
            // add padding
            if (/left|right/.test(direction)) {
                $marqueeRedux.find('> div').css('padding', '0 ' + width + 'px');
            } else {
                $marqueeRedux.find('> div').css('padding', height + 'px 0');
            }
            
            // events
            $marqueeRedux.bind('stop', function () {
                $marqueeRedux.data('paused', true);
            }).bind('pause', function () {
                $marqueeRedux.data('paused', true);
            }).bind('start', function () {
                $marqueeRedux.data('paused', false);
            }).bind('unpause', function () {
                $marqueeRedux.data('paused', false);
            }).bind('resize', function () {
                resizeMarqueeRedux(marqueeRedux);
            }).data('marqueeState', marqueeState); // finally: store the state
            
            // todo - rerender event allowing us to do an ajax hit and redraw the marquee

            newMarquee.push(marqueeRedux);

            marqueeRedux[marqueeState.axis] = getReset(marqueeState.dir, marqueeRedux, marqueeState);
            $marqueeRedux.trigger('start');
            
            // on the very last marquee, trigger the animation
            if (i+1 == last) {
                animateMarquee();
            }
        });            

        return $(newMarquee);
    };
}(jQuery));

I'm sorry, but I'm trying to get your resize addition to work. Affortunately I'm not that gifted with jQuery, so I can't get it to work. Could you be so kind to help me out?

I currently have the following, to start the marquee:

$(document).ready(function()
{
$('.twitter-marquee marquee').marquee()
.mouseover(function () {
$(this).trigger('stop');
})
.mouseout(function () {
$(this).trigger('start');
});
});

And for the Resize part:
$(window).resize(function()
{
$('.twitter-marquee marquee').marquee().resize(function () { $(this).trigger('stop'); });
});

Hi, I used your updated marquee plugin, but it seems do not work if I resize the window, the text will start to scroll from it's original position, not from the right most.