It may fly a bit furiously! (3)

I believe the answer is:

fur

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'it may fly' is the definition.
(reference to the phrase 'make the fur fly')

I don't understand how the rest of the clue works.

Can you help me to learn more?

(Other definitions for fur that I've seen before include "Hide" , "Eg, sable or ermine" , "Animal-skin coat" , "Animal's coat converted to human use" , "Hair covering animal's body" .)

I've seen this clue in the Evening Standard.

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