Like a bath? Some of day’s dust to be lifted (5)

I believe the answer is:

sudsy

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'like a bath? some' is the definition.
I can't tell whether this defines the answer.

'of day's dust to be lifted' is the wordplay.
'of' indicates the answer is hidden within the clue.
'to be lifted' shows that the letters should be reversed in order (going up in down clue).
'ysdus' is hidden in the letters of 'days dust'.
'ysdus' reversed gives 'SUDSY'.

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I've seen this clue in The Independent.

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