Usage of 'be on someone's back'

[Daemon99]

Is the following sentence OK?

He will be on your back until you finish it.

Is the expression 'to be on someone's back' used very often?

Are there any other expressions that mean the same thing?
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Non-native speaker of English
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I intend to live forever - so far, so good.

[Mister Micawber]

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To pressure someone; to badger someone. 'Get off my back!' is a common exclamation.
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Native English teacher at Mister Micawber's