keep atsomeone (about something)

keep after someone (about something) & keep atsomeone (about something) & keep on someone (aboutsomething) & stay after someone (about something)

to remind or nag someone over and over to do something. •

I'll keep after you until you do it!

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Mother stayed after Bill until he did the dishes.

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She kept at him until he dried them and put them away.

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We will have to keep on him about the report until he turns it in.