In reply to Kemics:
I have no medical training whatsoever, so take this with as big a pinch of salt as that suggests, but the first time I got elbow tendinosis (inside of my right elbow) a couple of years ago, I did a lot of reading up on the internet and the consensus seemed to be that you shouldn't stop climbing while recovering it.
I started a program of eccentric weights exercises for rehab (I think there was a good article on here about that), took more care over warming up and continued climbing hard routes at the gym (no bouldering though). I did the exercises religiously, and when I was pain free, I continued them for another four weeks. I haven't had any problems with that attachment point since.
Second bout (outside of right elbow) was the back end of last year - I started the exercises but didn't really pay as much attention to doing them daily and stopped once I was pain free. Few months down the line, that elbow is now giving me a bit of pain again.
So my rather unscientific study of two incidents in one single test subject suggests you can climb through and fully re-hab the problem as long as you're strict with the exercise regime.
Good luck with the recovery!