chase 1 
(chās)
(chās)v. chased, chas·ing, chas·es
v.tr.
1. To follow rapidly in order to catch or overtake; pursue: chased the thief.
2. To follow (game) in order to capture or kill; hunt: chase foxes.
3. To seek the favor or company of persistently: chased me until I agreed to a date.
4. To put to flight; drive: chased the dog away.
5. Baseball
a. To cause (an opposing pitcher) to be removed from a game by batting well.
b. To swing at and miss (a pitch, especially one out of the strike zone).
v.intr.
1. To go or follow in pursuit.
2. Informal To go hurriedly; rush: chased all over looking for us.
n.
Idioms: 1. The act of chasing; pursuit.
2.
a. The hunting of game: the thrill of the chase.
b. Something that is hunted or pursued; quarry.
3. Chiefly British
a. A privately owned, unenclosed game preserve.
b. The right to hunt or keep game on the land of others.
chase (one's) tail
To exert oneself vigorously but ineffectually.
give chase
To engage in pursuit of quarry: Police gave chase to the speeding car.
[Middle English chasen, to hunt, from Old French chacier, from Vulgar Latin *captiāre, from Latin captāre, to catch; see CATCH.]