Idioms 1. Also called cat and rat.
a children's game in which
players in a circle keep a player from moving into or out of the circle and permit a second player to move into or out of the circle to escape the pursuing first player.
play cat and mouse, to engage in a gamelike relationship in which evasion and pursuit are used: They played cat and mouse for a while before she consented to go out with him.
play cat and mouse with, b.
to use strategy on one's opponent, especially while waiting to strike: The detective played cat and mouse with the suspect.