JQuery :: Select Element After Insert - Add A Menu That Will Show Up Only When The User Rolls Over The Area

I have a databound control that I'm trying to add a menu that will show up only when the user rolls over the area. I am trying to append the rollover menu to each data container. I am able to append the menu, but the problem is that I cannot select the menu after it has been created to add say a click function to it. Basically, I am trying to append a menu that only shows up when a user rolls over the container (such as a <div>) and I would like to add some function to the newly created element. The problem is that I cannot assign the rollover menu an ID because although I could select them at that point it will assign the function to all of the ID's which won't really do me any good.