as most of you (should) know, you can get your Leg Cut off and then hop around instead of running.
What also happend to me a couple of times is that my Arm got cut of, but it doesnt really change anything.
What if losing an Arm for example made your swing speed slower. Or something like that.
Or you can "lose" the Jetpack if your back-part gets cut. Or anything like that.
Obviously just ideas, and you can imagine it the way you want!