When would I use JQuery.Callbacks?

To expand on @Rockets answer a bit and clear up some confusion:

The reason that one might need to use jQuery’s $.Callbacks is multifaceted:

1. The user has a lot of code in one function and wants to split it up

2. They take that information and send it through the jQuery callback function which then allows them to have split their code into better manageable pieces with which to work with.
   So (for example) if you look at @Rocket’s code:

   var clickCallbacks = $.Callbacks();
   
   clickCallbacks.add(function() { //one one function piece
       //parse and do something on the scope of `this`
       var c = parseInt(this.text(), 10);
       this.text(c + 1);
   });
   clickCallbacks.add(function(id) { //add a second non-related function piece
       //do something with the arguments that were passed
       $('span', '#last').text(id);
   });
   
   $('.click').click(function() {
       var $ele = $(this).next('div').find('[id^="clickCount"]');
       clickCallbacks.fireWith($ele, [this.id]); //do two separate but related things.
   });
   

3. What you can now have is multiple callback batches of function which you can now call whenever you deem it be necessary without the need to make so many changes throughout out your code.