Quality of one smashing seductress I've not lovelessly abandoned (15)

I believe the answer is:

destructiveness

'quality of one smashing' is the definition.
(quality of being destructive)

'seductress i've not lovelessly abandoned' is the wordplay.
I cannot quite understand how this works, but
'i've' could be 'ive' and 'ive' is found within the answer.
This may be the basis of the clue (or it may be nonsense).

I've seen this clue in The Times.

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