I used to be overrun with Aiptasia. I tried everything. Kalk paste, Joe's Juice, Aiptasia-X, Lemon Juice, Boiling Water. They always came back stronger than ever.
I was starting to think that Joe's Juice and Aiptasia-X were actually food.
Anyway, I added two peppermint shrimp and after a week, they had almost completely annihilated them. It was insane. They even got to the ones on the lettuce clip, which is nowhere near a rock. It took about 2 weeks for them to completely rid the tank of them, but I haven't seen one in months.
Those little buggers are worth their weight in gold. I don't know how they did it, but it was awesome.