Come after Definition 1 of 3Pro Tip 1/3Physical Pursuit Used to describe someone or something being physically chased, often urgently or hastily. The cat came after the mouse, darting through the garden. Pro Tip 2/3Metaphorical Chase Can be used metaphorically for striving or competing for something. She's coming after the regional sales record with impressive determination. Pro Tip 3/3Instant Reaction Can denote immediate action or reaction after a prompt or cue. As the whistle blew, the players came after the ball.