Do you notice it from any particular exercises? Or just cleans? A technique problem is always a possibility.
Standard treatment should work. Ice the elbow immediately after training. Maybe consider some a light, higher-rep superset either before or after the workout of one bi move/one tri move. (It would be prehab, not fluffy/useless training).
A strongman buddy of mine felt great recuperation from doing Rubber-Band-Around-The-Fingers Extensions, a few sets of 20+ reps throughout the day.