1. Go after with the intent to catch
   "The policeman went after the mugger down the alley";
   - chase, chase after, trail, tag, give chase, track, chase down
    
2. Go in search of or hunt for
   "go after a hobby";
   - quest for, quest after, pursue

Derived forms: going after, went after, gone after, goes after

Type of: follow, look for, pursue, search, seek