Crossword Genius

Flirtatious parrot won’t keep quiet (3)

Ross

I believe the answer is:

coy

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'flirtatious' is the definition.
(I've seen this in another clue)

I cannot understand how the rest of the clue works.

Can you help me to learn more?

(Other definitions for coy that I've seen before include "Pretending modesty" , "Reserved" , "Military team in brief" , "Pretending to be shy or bashful" , "Pretending shyness" .)

I've seen this clue in The Times and The Sunday Times.
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