I love
Lucinda;
Lucy and
Lucinda are pretty much tied as my favorite "
Luc" names for girls. The prominent "eel" sound of
Lucille lessens my enjoyment of that particular form, but I love "
Luc" names in general. Personally, I would probably use "Luc"/"Luce" ("loos") as a nickname, but think Lucy/Lucie would be the most likely nickname generated by others. "
Lulu" would be cute. "
Lindy" or "
Linda" would work, but they lose touch with the "light" for me, as does
Cindy, so I wouldn't prefer them.