Thanks for the comments. Luckily I have no tingling in my pinky or other fingers, and no pain when doing any lifts, just that feeling of tightness, which leads me to think it might be a sprain and not a tear.
I've focused on really keeping my elbows in, no matter what exercise I'm doing, and have switched to neutral grip for almost everything (military press, chest press, etc.).
Do you think supinated curls are bad for elbows in general? Anybody else have experience with a sprained or torn UCL?