could something like below work?
Code:
$('#'+ divID).mouseenter(function(){
$(".square.one").filter(':not(:animated)').animate({width:"+=10px"},200);
//do something
}).mouseleave(function(){
$(".square.one").stop(true) //removes animation in the queue
$(".square.one").filter(':not(:animated)').animate({width:"-=10px"},200);
// do something
});