I don't think it means moon; Lucy/Lucia/Lucille mean "light" and Lucine is from the same root. Selene does mean moon, you may have gotten them mixed up?
The only lucy type name I like is Lucia, though Lucille is also okay. Lucine sounds chemically with that "cine" ending. Like Lucite or lutein.
Before you criticize a man, walk a mile in his shoes. That way, when you criticize him, you're a mile away and you have his shoes!
Steve Martin