I think most people named
Chris that I've encountered have been men, with it being a shortened form of
Christopher,
Christian, or
Cristobal (he went by Cris, actually). That said, I've encountered women named
Christine /
Christina who went by
Chris, as well as one woman whose given name was
Kris.
It's fine as a nickname, and not uncommon. It's odd to encounter it as a given name.
Andrew
put a smile on your face - make the world a better place (: