Yeah I'm at uni currently, but cost isn't much of an issue for me being in the UK and using the student loan system and NHS. The only difficulty really is when operations coincide with uni deadlines, but I imagine they will be understanding if there's no way to avoid an exam or a dissertation deadline clashing with something unavoidable like that. Being on post op painkillers and trying to think clearly to do the work could be a problem though.
Had no issue with university itself, changing name and all that was a breeze.