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Phrase(s): stay on top of someone or something
1. Lit. to remain positioned on the top of someone or something. • Please stay on top of the hill until we call you. • The wind is blowing and this sheet of plastic will not stay on top of me, so I am getting soaked! 2. Fig. to keep well-informed about someone or something; to keep watch over someone or something. • You have to stay on top of her if you want her to do it right. • I will stay on top of this project.
McGrawhill's American Idioms And Phrasal Verbs