JS snippet shows how to get local time for a location based on its latitude and longitude using World Weather Online's Time Zone API -http://www.worldweatheronline.com/time-zone-api.aspx

gistfile1.js

function time(lat, long) {
    //replace the value for the key parameter with your own
    var url = "http://api.worldweatheronline.com/free/v1/tz.ashx?q=" + lat + "," + long + "&format=json&key={key}&callback=tfunc";
    //reference to jQuery library is required prior to using this function
    $.getScript(url, function (response) { });
}

window.tfunc = function (response) {
    var time = "";
    time = "Local Time:" + response.data.time_zone[0].localtime;
    $("#time").append(time); // #time represents a div whose id has the value time
};