Listen fully to anything said (4,3)

I believe the answer is:

hear out

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'listen fully' is the definition.
(I've seen this in another clue)

I cannot understand how the remainder of the clue works.

(Other definitions for hear out that I've seen before include "Listen to everything" , "Thoreau (anag)" , "Take everything in" .)

I've seen this clue in the Evening Standard.

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