What sport uses a kitty?

There's no sport that uses a "kitty" in the literal sense. However, there are a few possibilities depending on what you mean:

* Curling: In curling, the large stone is sometimes called a "rock" or a "kitty."

* Bowling: In bowling, the ball is sometimes called a "kitty."

* Fencing: In fencing, the "kitty" can refer to a target or a point awarded in some competitions.

It's important to note that "kitty" isn't a common term in sports, so it's possible you are misremembering the term or that it's a local slang term.