Fluttering eyelids in sordid manner (7)

I believe the answer is:

seedily

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'sordid manner' is the definition.
The answer and definition are not the same part of speech.

'fluttering eyelids' is the wordplay.
'fluttering' indicates anagramming the letters.
'eyelids' with letters rearranged gives 'SEEDILY'.

'in' acts as a link.

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I've seen this clue in The Everyman puzzle in The Observer.

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