Shook vigorously and questioned persistently (6)

I believe the answer is:

pumped

I believe this clue is a double definition.

'shook vigorously' is the first definition.
(pump can mean to shake or move vigorously)

'questioned persistently' is the second definition.
('pump' can be a synonym of 'question persistently')

'and' is the link.

(Another definition for pumped that I've seen is " Forced (a fluid) to move".)

I've seen this clue in The Times.

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