Make agitated, like a prince by a reporter (4)

I believe the answer is:

roil

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'make' is the definition.
The definition and answer can be both to do with motion as well as being verbs in their base form.
Perhaps you can see a link between them that I don't see?

I can't explain the remainder of the clue.

Can you help me to learn more?

(Another definition for roil that I've seen is " Set up Rollers".)

I've seen this clue in The Times and The Sunday Times.

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