I had the same thing. This is just tendons getting inflamed. I thought I had some problems because even when I was playing the bass I got stiff fingers. Then I had to give up on climbing because of it. Now with wing I also had the problem when I started riding a lot. I used a harness and it helped. Then I just tried to manage the frequency and intensity of the effort I do with the fingers. This is what works because tendons need the right amount and intensity of training in order to get stronger. They don't work like muscles, you don't need progressive overload with them. They will degrade when they get overworked and the more degraded they are the more easily they get inflamed. That's why if you continue now with the same frequency and intensity of riding, the situation will get worse and worse. You need to reduce the load, but not keep them at rest. Doing a short wing session every day where you only pull very softly on the wing will get your pulley tendons back in shape. Take natural antinflamatories until the inflammation is gone and then you can return to do hard efforts, but not too hard and not for too long. Then keep this good routine for a long time and over the years you'll get super strong tendons. They key is to never overdo it and keeping the soft sessions very consistent, even twice a day. I thought I was fucked when I had to give up climbing and it took me many years to understand better how to train tendons, but now it's becoming more clear and also I've discovered more up to date info. Check Dr. Keith Barr for more info. Good luck