LOL. yea they definitely do sound like flatworms to me. They are actually harmless ( according to some sources ). However, I have seen whole mushroom rocks tum in to just LR, due to their nuisance. They do irritate corals and of course tank owners, due to how unsightly thet are.
Biological/ longterm SOLUTION: Yellow coris wrasse. Mandarin Gobies. And the best: the neon (blue) velvet sea slugs.
Short-term SOLUTION: Siphon the little suckers out.

Careful, not to cut or pinch them they can multiply asexually.
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&&&&20 Gal. , Millenium 1000 & 2000 filter, 130watt Corallife 50/50 reef lamp. Maroon Gold-striped Clown, Pygmy (Cherub) Angel, Skunk Cleaner shrimp, 8 Turbo Snails, 1 unknown cone snail , a branch of red grape calerpa , Sun Polyps, Blue-Green Striped shroom, Red shroom, Zoo Polyp colonies, & Green Star polyps, green monti.