Not a remnant, fortunately not fanged (3,3-3)

I believe the answer is:

not fag-end

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'fortunately not fanged' is the definition.
I don't know anything about this answer so I cannot tell whether this works.

'not a remnant' is the wordplay.
'a remnant' becomes 'fagend' (I've seen this before).
'not'+'fagend'='NOT FAG-END'

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I've seen this clue in the Sydney Morning Herald.

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