Regenerative healing would mend the damage as long as the entire organ is not removed, I recall from the time the group fought vampires at one point - only removing the heart or head kills, but losing any other organ could be rather permanently extremely unpleasant (although with, say limbs and such, where does what begin or end? if to sever a lower arm in the middle, would there still forever only be a stump at that length despite halves of the severed muscles and bones remaining? and if you removed a solitary muscle at connection-points, that'd not grow back, either? I at least presume a completely removed bone would not...), as well as it is technically possible to bleed a vampire dry. 

It should be rather hard to tear sizable holes into clothes just climbing buildings... Fighting anyone wielding a blade, clawed, fire-magic, acid, or otherwise destructive agents in daylight is still be an incredibly bad idea, though. No shadow within a handful of yards and he'd be gone if a sizable hole that he can't immediately cover up with a hand or something (turn that side away from sun? that might work in some cases) gets torn through his clothes. 
I wonder, though, how much would full clouds dampen sunlights' effect on vampires? These only scatter sunlight, but don't really block it entirely.