keep on
phrasal verb
kept on;
keeping on;
keeps on
Definition of keep on
1
informal
: to continue happening, doing something, working, etc.
The rain kept on throughout the day. He talked and talked. At one point I thought he would keep on all night. She kept on talking after I told her to be quiet.
2
: to continue to have (someone) as an employee
The chef was kept on even after the restaurant was sold.