Cat-and-mouse

From a cat-and-mouse sequence at a busy airport to a long car chase through Rome to a grand finale aboard a runaway train, each action scene tops the one before it.

Source: wiktionary

Does that produce a different dynamic when they meet in battle? ‘It does,’ said Hoy. ‘I tell myself that it doesn’t matter who you race against, you try to expose their weaknesses. The only difference is that they know your weaknesses. It just makes it a bit more of a mind game, a cat-and-mouse strategy.

Source: wiktionary

A cat-and-mouse thriller with delusions of grandeur, The Statement arrives wrapped in an intimidating mystique of high-minded solemnity that makes its vagueness and incoherence all the more disappointing when the pieces don't add up.

Source: wiktionary

The Cinque Ports' navy had torn up and down the Channel harassing any marauding French; smugglers had cat-and-moused with revenue men over the marshes, into the woods.

Source: wiktionary