I have suffered golfers and tennis elbow off and on for years. It finally got so bad I had to see an ortho. He said the only way to relieve it was:
1. Stop golf for two months
2. Go to an arm/hand PT
3. Stop gripping the club so hard

I did all three of these and I continue to do the therapy exercise, which consist mostly of strengthening and stretching the forearms. I am now 99% pain free. Once in a while when I practice putting for long periods it will bother me a little. Long story short. Weak forearms cause the body to compensate by putting more work to the tendons and ligaments of the elbow. A tight grip on clubs/putter ruins my golf game too. So fixing it improved it all. Good luck. Two months off golf was tough as I play at least twice a week.