Carry bench, finally producing exasperated noise (5)

I believe the answer is:

humph

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'producing exasperated noise' is the definition.
I can't judge whether this defines the answer.

'carry bench finally' is the wordplay.
'carry' becomes 'hump' (I've seen this before).
'finally' says to take the final letters.
The final letter of 'bench' is 'h'.
'hump'+'h'='HUMPH'

Can you help me to learn more?

(Other definitions for humph that I've seen before include "annoyed interjection" , "Clueless chairman" .)

I've seen this clue in The Times.

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