In reply to SeanSmith:
If you continue to strength train while that finger recovers then that part of your grip is going to be weaker when you "fully" start back (obvious I know
). But when I used to climb and train reasonably hard I would sometimes suck it up and do stuff like you suggest. However, I found something often worked better, rest. If you are climbing moderately hard and training often you probably have a bunch of minor "micro injuries" (I bet the ring finger started out as a niggle you paid no attention to). A couple of weeks off if the current injury is a small one may put you in a better place all round and reset all that wear and tear some. My feeling was after these little breaks I could actually pull a little harder. Go do some stretching
It might be worth getting it looked at by a professional and properly diagnosed. They might think an anti inflammatory will help etc. but it would be better to get it checked out if it isn't something you feel will fix itself soon by having had a similar injury before. Depending on where you are, relevant professional advice might be difficult to get in a timeframe that might help("Dr., it hurts when I lift myself up on bits of wood","Avoid lifting yourself up on bits of wood. Next!"). A sports physio if you can afford it might be money well spent. There might be one that has a relationship with the wall you train at. Even one who has little experience of climbers but say works a lot with racquet sports might be good.
I haven't climbed hard for a few years so am unsure on the current advice. When I first started training seriously everyone used to tape injuries like this, I am pretty sure that is now considered "not a great idea unless you really must" or at best "not that useful" (?)