Alexander Beider has Lutsie as a main female listing in his Dictionary of Ashkenazic Given Names.
Lutje, Lutsje, Lutske, all Saxon/low German/east Netherlands forms of "little one" come to mind in a possible Yiddish female form. [Anglo-Saxon lyt = Old Saxon lut]
-- Evertjan Hannivoort. The Netherlands. (Please change the x'es to dots in my emailaddress)