Some experiments on Arrows using Arrowlets(http://www.cs.umd.edu/projects/PL/arrowlets/index.xhtml) code.

arrow.js

function AsyncA(cps) {
    this.cps = cps;
}
AsyncA.prototype.AsyncA = function () {
    return this;
};
AsyncA.prototype.next = function (g) {
    var f = this;
    g = g.AsyncA();
    
    return new AsyncA(function (x, k) {
        f.cps(x, function(y) {
            g.cps(y, k);
        });
    });
};
AsyncA.prototype.first = function() {
    var f = this;

    return new AsyncA(function(x, k) {
        f.cps(x.fst, function(y) {
            k({fst: y, snd:x.snd});
        });
    });
};
AsyncA.prototype.second = function() {
    var f = this;

    return new AsyncA(function(x, k) {
        f.cps(x.snd, function(y) {
            k({fst: x.fst, snd: y});
        });
    });
};
AsyncA.prototype.pair = function(g) {
    var f = this;

    return f.first().next(g.second());
};
AsyncA.prototype.both = function(g) {
    var f = this;

    return new AsyncAF(function(x) {
        return {fst: x, snd: x};
    }).next(f.pair(g));
};
AsyncA.prototype.run = function(x) {
    this.cps(x, function (y) {});
};
var AsyncAF = function(f) {
    return new AsyncA(function(x, k) {
        k(f(x));
    });
};
function ConstA(x) {
    return AsyncAF(function() {
        return x;
    });
};

var square = AsyncAF(function(n) { return n * n; });
var addOne = AsyncAF(function(n) { return n + 1; });
var asyncAddOne = new AsyncA(function(x, k) {
    setTimeout(function() {
        k(x + 1);
    }, 1000);
});

ConstA(2).next(square).next(asyncAddOne).next(console.log).run();

ConstA(2).next(square.both(addOne)).next(console.log).run();