Show off cycle chain (4)

I believe the answer is:

crow

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

'show off' is the definition.

I cannot understand how the rest of the clue works.

(Other definitions for crow that I've seen before include "Brag; carrion bird" , "shout in triumph" , "Ugly old woman" , "Brave" , "One commonly stoned" .)

I've seen this clue in the Irish Times (Crosaire) and The Irish Times.

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