Is a name recollected? Not with this! (7)

I believe the answer is:

amnesia

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'not with this' is the definition.
The definition suggests a singular noun which matches the answer.

'is a name recollected?' is the wordplay.
'recollected?' indicates anagramming the letters (I've seen 'recollected' mean this).
'is'+'a'+'name'='isaname'
'isaname' with letters rearranged gives 'AMNESIA'.

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(Other definitions for amnesia that I've seen before include "As a mine (anag)" , "illness" , "Elephants won't suffer such" , "Asia men with memory loss (7)" , "Memory-loss" .)

I've seen this clue in The Sun and The Telegraph.

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