It's better than Lucy but that isn't saying very much. Lucinda's always struck me as a storybook kind of name, like this quirky, magic-obsessed little kid who lives in a quirky house with her talking guinea pig or something.
Lucille is okay, though I always want to sing "You picked a fine time to leave me, Lucille" when I hear it. If I had to pick a Lucy-related name I'd pick Lucia, pronounced Loo-SEE-a.
I think, therefore I judge.