Oh Yeah...
I've had both tennis AND golfers elbow happen during different cycles. The former is related to tendon pain on the outside of the elbow, the latter is on the inside.
The problem is that tendons don't respond to AS the same way muscles do. While muscles on AS can withstand much greater stresses than normal, tendons actually become more supple and prone to damage like micro tears, (especially if cycles are run excessively long).
What to do...? If you're in pain, the damage is done and there's no way to accelerate healing other than using movements that eliminate or reduce the amount of pain you're feeling.
I keep hearing people say they're getting corticosteroid (cortizone) shots to reduce inflamation and pain. But when you get these, your doctor should also be telling you NOT to go back to lifting heavy. Just like regular AS for body building, corticosteroids weaken the tendon even more while the healing takes place. If you try pushing back into your normal routine after a corticosteroid shot, you run the risk of even more damage or worse yet the potential for something more drastic like a partial or complete detachment of the tendon. Either way, it's not worth the risk.
If you only have moderate tenderness in and around the elbow, WARM UP the affected joints with light weights before every workout (more than you normally would). Experiment with different exercises than the ones that cause pain. For me, heavy straight bar curls and wide grip pull ups were the killers. I just switched to dumbell curls so I could shift my wrist angle during the movement and went to a closer grip pull up until the tendons healed (it took about 2 months to completely get back to normal).
If you have debillitating pain in your elbow(s), then you should probably lay off working out altogether for at least a few weeks. A torn tendon will heal a lot faster than one that becomes completely detached and needs to be surgically fixed.