It's better to be the beak (5)

I believe the answer is:

finer

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'it's better' is the definition.
(I've seen this in another clue)

I cannot understand how the remainder of the clue works.

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(Other definitions for finer that I've seen before include "magistrate?" , "Of higher quality" , "More gossamer or splendid" , "Better quality" , "Better; more slender" .)

I've seen this clue in the Evening Standard.

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