ROGET THESAURUS
give chase
Pursuit
VB
pursue, prosecute, follow, run after, make after, be after, hunt after, prowl after, shadow, carry on, engage in, set about, endeavor, court, seek, aim at, follow the trail, fish for, press on, run a race, chase,
give chase, course, dog, hunt, hound, tread on the heels, follow on the heels of, rush upon, rush headlong, ride full tilt at, run full tilt at, make a leap at, jump at, snatch at run down, start game, tread a path, take a course, hold a course, shape one's steps, direct one's steps, bend one's steps, course, play a game, fight one's way, elbow one's way, follow up, take to, take up, go in for, ride one's hobby.