Fluster receiving bill raised for headwear (4,3)

I believe the answer is:

hair net

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'headwear' is the definition.
I can't tell whether this defines the answer.

'fluster receiving bill raised' is the wordplay.
'fluster receiving' becomes 'hair' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'bill' becomes 'ten' (I've seen this in another clue).
'raised' is a reversal indicator (going up in a down clue).
'ten' written backwards gives 'net'.
'hair'+'net'='HAIR-NET'

'for' is the link.

Can you help me to learn more?

(Other definitions for hair net that I've seen before include "Coiffure neatener" , "In heart (anag)" , "Thin mesh worn on head" , "Fine mesh over coiffure" , "I hold mop" .)

I've seen this clue in The Telegraph.

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