Rapid Eye Movments

Does anyone else experience rapid eye movments during third eye meditations?

Yes, most of the time.

What does it mean exactly when that happens? I just try to focus more when it does.

Seems like a good thing to me, because REM usually only happens when dreaming so to experience it while awake but in an altered state, I’d say it means you are entering into the “zone” the deepest level of meditation, exactly where you need to be. You are connecting with your subconscious on a deeper level, in perfect sync between altered consciousness and dream state. I would try to focus as much as possible when that happens, it seems to bring me more vivid visuals. If you have any questions you would like a spirit to answer, that would be the best time to do it as the answers usually come more clear and the visions more colorful and detailed.