Nibbled as one leafed through (7)

I believe the answer is:

browsed

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'nibbled' is the definition.
The definition and answer can be both related to consumption as well as being past participle verbs.
Maybe there's an association between them I don't understand?

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

Can you help me to learn more?

(Other definitions for browsed that I've seen before include "Read casually" , "looked around" , "Leafed through books" .)

I've seen this clue in the Evening Standard.

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