Cleaners dragged politician out of dumpsters (7)

I believe the answer is:

dusters

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'cleaners dragged' is the definition.
I can't judge whether this definition defines the answer.

'politician out of dumpsters' is the wordplay.
'politician' becomes 'pm' (short for prime minister).
'out of' suggests deleting specific letters.
'dumpsters' with 'pm' taken out is 'DUSTERS'.

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I've seen this clue in the Sydney Morning Herald.

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