Climbing in particular can lead to problems with the elbows and shoulders. Bodybuilding programs that focus on the trophy muscles and strength-based routines that focus on trophy lifts can also suffer from a damaging level of specificity.
A robust exercise program should anticipate such problems. Here is my link of prehab/rehab exercises with videos and articles:
These are by no means the 'best' exercises or the ones you should do. They are simply the ones that I need to do to achieve a balance in my training program. There are certainly many other shoulder-focused exercises you can do but between planching and levers, I think I have these plains of motion covered.