You can use jQuery.clone(true)
what this does is return data for an element. The parameter that is set to true means to also copy over all the events as well.
So if you clone the element into a variable you can bring back the old click events by simply replacing your target element with its older clone (which has the old events)
So it goes as follows:
step 1:
clone the target element using jQuery.clone(true)
into a variable
step 2:
remove all click events from the target element using jQuery.off('click')
step 3:
bind your event to the target element with jQuery.on('click' function etc...)
step 4:
when you're done replace the target element with its clone (which has the old events)
Here is a JSFiddle for your viewing pleasure
(Sorry for the simpleness of the JSFiddle I mocked it up quickly and I have no example situation where I would use this.)
EDIT: I forgot to explain jQuery.clone(true)