Icily explain bit about unaccountable quality (15)

I believe the answer is:

inexplicability

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'unaccountable quality' is the definition.
The definition suggests a singular noun which matches the answer.

'icily explain bit about' is the wordplay.
'about' indicates an anagram.
'icily'+'explain'+'bit'='icilyexplainbit'
'icilyexplainbit' anagrammed gives 'INEXPLICABILITY'.

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I've seen this clue in The Times.

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