Quoting from Julian Sprung's "Invertebrates: A quick reference guide," pg 201:
"....a very small sea star, some only 1/4 inches in diameter, others up to about 1 inch. Three species are commonly imported with live rock. A small whitish Asterina sp. feeds on algae on the aquarium glass. Other, larger species may sometimes feed on coral tissue and are dangerous in a reef aquarium because they proliferate rapidly by fission."
"Hardiness in captivity: Hardy. Reproduce prolifically. Life span - years."
I found one, and since I don't have a clue which one of the three species it was, it was unfortunately disposed of properly. The key phrase for me was, "reproduce prolifically" and "life span of years."