Run after someone or something to catch them

• Pursue at speed

Actively try to achieve a goal, result, or opportunity

• Seek to obtain or secure

An attempt to catch someone or something; a pursuit

• A high-speed chase, especially by police

The hunting of wild animals; a hunt

A children's game where one player chases another, like tag

To pursue someone persistently as a romantic partner

• Try to win someone's affection