Look up repeatedly (4)

I believe the answer is:

peep

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'look' is the definition.
(peep can mean to look at something)

I don't understand how the remainder of the clue works.

(Other definitions for peep that I've seen before include "Look slyly" , "Look surreptitiously - through a keyhole?" , "Look furtively (in both directions)" , "Look furtively or voyeuristically" , "Look surreptitiously, like Tom" .)

I've seen this clue in the Evening Standard.

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