Perplex clergy, producing cleaning requisite (10)

I believe the answer is:

floorcloth

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'cleaning requisite' is the definition.
The definition suggests a singular noun which matches the answer.

'perplex clergy' is the wordplay.
'perplex' becomes 'floor' (I can't explain this - if you can you should believe this answer much more).
'clergy' becomes 'cloth' (I have seen 'The clergy ' mean 'cloth' so perhaps 'clergy' could also mean 'cloth').
'floor'+'cloth'='FLOORCLOTH'

'producing' acts as a link.

Can you help me to learn more?

(Another definition for floorcloth that I've seen is " cleaner?".)

I've seen this clue in The Times.

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