Bird sound that’s amusing (4)

I believe the answer is:

hoot

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'bird' is the definition.
(thesaurus)

'sound that's amusing' is the wordplay.
'sound' indicates a 'sounds like' (homophone) clue.
'that' becomes 'who' (the person that..., the person who...).
'amusing' becomes 't' (I can't explain this - if you can you should give a lot more credence to this answer).
'who' sounds like 'hoo'.
'hoo'+'t'='HOOT'

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(Other definitions for hoot that I've seen before include "Hollow cry" , "Cry of owl" , "Honk - laugh" , "noise made by 7 [WOOD-OWL]" , "Owlish cry" .)

I've seen this clue in The Times.

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