I know a Cricket. She's probably in her eighties now and her real name is Ollie. Her husband, who I think is either Charles or Robert, is nicknamed Tick. Sounds like they run a bug farm. I have no idea why they're called those names and I'm not sure I want to know.
It's a cute nn, I guess, but not appropriate as a full name and I don't think it's appropriate outside the family and very close friends for anybody much over elementary school age.
I also knew a dog named Cricket.
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