I wouldn't worry about it too much though - almost all of the people I know with finger injuries were trying to push into really being competitive climbers, not just doing it casually for fun/fitness.
Oh also to keep from tearing your skin don't climb tired. (That won't keep you from typing, it's just painful.)
I never had a serious injury. Instead it would be minor injuries, that would make my ring finger 20% less responsive, that would totally mess up my typing cadence.
I tried capoeira, a non-contact martial art, for a while. This wasn’t as good for me as Taekwondo.