keep after
phrasal verb
kept after;
keeping after;
keeps after
Definition of keep after
1
informal
: to tell (someone) again and again to do something
My kids kept after me to quit smoking, so I finally did. I wasn't going to audition, but my friends kept after me.
2
US
: to require (a student) to stay at school after classes have ended
The teacher kept him after (school) for misbehaving in class.