I've seen it pop back up whole and intact, but I haven't seen it come up piecemeal, as if the damage control parties are fixing one thing at a time.
It would also be nice if the CV damage model stopped takeoffs while the ship was on fire, which is the first thing that a damage control party would work on. Once the fire is put out, then air operations can resume.
Just a thought...
EagleDNY
$.02