Definition from Wiktionary, the free dictionary
chase after someone
- Used other than as an idiom: see chase, after.
- (idiomatic) To pursue someone with romantic intentions; to woo.
2002, Florence Whiteman Kaslow, Jeffrey J Magnavita, Comprehensive Handbook of Psychotherapy, page 493:
- He began to tell her that he loved her, and he chased after her for six months