Wordnet 3.0
VERB (1)
1. 
 go after with the intent to catch; 
- Example: "The policeman chased the mugger down the alley"- Example: "the dog chased the rabbit"[syn: chase, chase after, trail, tail, tag, give chase, dog, go after, track]
WordNet (r) 3.0 (2006):
give chase
    v 1: go after with the intent to catch; "The policeman chased
         the mugger down the alley"; "the dog chased the rabbit"
         [syn: chase, chase after, trail, tail, tag, give
         chase, dog, go after, track]