I just started climbing a few months ago. I absolutely love it. Although I am still learning, my forearms are getting stronger and noticeably bigger. I am getting technically better, more confident, tenacious and meeting lots of interesting people in the process.
The only thing that may cause me to stop is the fact that some research has shown that 25% of serious climbers have caused injury to their hands (like carpal tunnel) due to overuse and strain. If you climb, you can attest that your forarms, elbows, and fingers will ache for a day or two after a good workout.
From what I have heard, hand and arm muscles will develop much more rapidly compared to the ligaments. Excess stress on these areas could cause a "bowstring" effect on your carpal pulley tendons. (not sure if this is completely accurate, but makes sense)
I am not so sure I would want to risk my future dental career on a sport that I am not all that serious about. Climbing is a ton of fun, but I don't want to have to face any more obstacles that might keep me from becoming a successful dentist.
If you decide to continue climbing, do some research. I think if you are smart about it you can improve your odds of remaining healthy by taking it easy, focusing on endurance rather than higher route ratings, and staying within your ability level. But this is obviously hard to do when I got my boys, Dr Dre and Warren G, on the ground hollering an hyping me up. Takes more discipline than I have, so I'm afraid I'm gonna have to hang it up.