Crossword Genius

Show gusto around duke, wife and migrant (6)

Ross

I believe the answer is:

godwit

I'm a little stuck... Click here to teach me more about this clue!

'migrant' is the definition.
Although both the answer and definition are singular nouns, I cannot see how they can define each other.

'show gusto around duke wife' is the wordplay.
I cannot quite understand how this works, but
'around' could be 'o' (a round letter) and 'o' is present in the answer.
'duke' could be 'd' (abbreviation) and 'd' is found in the answer.
'wife' could be 'w' (abbreviation) and 'w' is found within the answer.
The remaining letters 'git' is a valid word which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).

'and' is the link.

Can you help me to learn more?

(Other definitions for godwit that I've seen before include "Long-billed wader" , "Long-legged northern shore bird" , "Wader; do twig (anag.)" , "Wader; two dig (anag.)" , "Flyer" .)

I've seen this clue in The Times.
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