I've been getting some pain in my left elbow (righthander) I think the only real treatment is rest but I've been popping a few ibuprofen after a game and it seems to help a lot.
Usual disclaimer applies... I'm in no way qualified to give medical advice, see a doctor etc etc etc
I used to get it when I used to "hit" the ball too hard and almost hyper extend my right elbow. Calmed my swing right down and don't suffer anymore. Ibuprofen gel was the only thing to help.
Agree with the anti-infantries but don't over do them. I also used a support on my elbow too because i insisted on playing but the best cure is to rest up. (as if that's going to happen)