To play cat and mouse is for somebody or something to chase the other in a very strategic, teasing, and game-like way (like a cat chasing and playing with a mouse).

玩猫捉老鼠的游戏，是指某人或某事用战略性的手段挑衅和追逐着其他人(就像猫在追老鼠)。

youdao

Like I said, basically it's just asking permission to do something or asking for somebody else to do something.

就像我说的，这个句型的基本意思是征求做某事的允许或请求他人做某事。

Would you please 课堂 - SpeakingMax英语口语达人

The fact that somebody isn't from an SEC or an ACC or a Big 12 or Pac 12, something like that, in our sport, it's a non-factor.

WSJ: Virginia's O'Connor: Regionals about fundamentals