I had the same thing at the beginning of August: left ring finger, slight tearing noise/sensation whilst pulling hard on a crimp with small footholds. No acute pain unless I try to crimp with it - so I don't - but general soreness, stiffness and inflammation which is now, seven weeks later, much better but by no means gone.
What I did:
Ask my GP because he is a climber (otherwise I might not have bothered) He said "we could have a look on the ultrasound and see how much is torn, but sorry I'm too busy for that just now. What grade were you climbing when it happened? OK: you can still climb, but six to eight weeks of two full number grades below that", and gave me some tips on taping.
Did six weeks of mileage on easy routes, which was frustrating for the first couple of weeks but afterwards quite fun, and I suspect may have done quite a bit for my technique and/or stamina.
For the first three/four weeks I religiously did the half hour cold water thing as recommended by Dave MacLeod daily. Plus lots of massage and stretching whenever I notice it's a bit swollen and stiff. Occasional applications of ibuprofen cream ditto.
Now I'm back more or less where I was pre-injury on steep stuff on big holds, perhaps with better technique / confidence from all the mileage. Still wouldn't contemplate bouldering or trying obviously fingery routes: that feels like it might be a while yet.
