The following code uses callbacks to keep the items in the unordered list animating between different widths while still justified.
$(document).ready(function(){
$(".justify").characterJustify(200);
var anim = function() {
$(".justify").characterJustify(300, 1000, "swing", function() {
$(".justify").characterJustify(200, 1000, "swing", anim);
})};
anim();
});