Fiddle with it idly, yet neatly (6)

I believe the answer is:

tidily

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

'fiddle with it idly' is the wordplay.
'fiddle with' indicates anagramming the letters (I've seen 'fiddled with' mean this).
'it'+'idly'='itidly'
'itidly' anagrammed gives 'TIDILY'.

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(Another definition for tidily that I've seen is " In a neat manner".)

I've seen this clue in the Evening Standard.

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