Crossword Genius

Being boastful although only a little credit due? (7)

Ross

I believe the answer is:

crowing

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'being boastful' is the definition.
(synonyms)

'credit due?' is the wordplay.
'credit' becomes 'cr'.
'due?' becomes 'owing' ('owing' can be similar in meaning to 'due').
'cr'+'owing'='CROWING'

'although only a little' is the link.
I am not very happy about this link. Some or all of it may be part of another bit of the clue.

Can you help me to learn more?

(Other definitions for crowing that I've seen before include "Being boastful" , "Boasting" .)

I've seen this clue in The Globe and Mail.
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