The name Clarice is a girl's name of Italian origin meaning "bright, clear". Clarice and is often added to lists like Literary Names for Girls and discussed in our forums with posts like "Girls Makeover - Two Middles".
From the experts:
If you’re a fan of the annual animated Rudolph the Red-Nosed Reindeer, you’ll recognize the name of Rudolph’s beautiful doe sweetheart, pronounced cla-REES—uncomfortably close to the Silence of the Lambs pronunciation. Clarice was the name of the wife of Lorenzo de' Medici, and Clarice Cliff was a famed British ceramics artist. Though a Top 300 name from 1906 to 1934, modern parents might prefer the more delicate Clarissa.