Vanishing cream consumer? (8,3)

I believe the answer is:

cheshire cat

I'm afraid I can't even guess how this answer relates to the clue.

(Other definitions for cheshire cat that I've seen before include "I smile when all else is gone" , "Wonderland grinner" , "Vanishing cream lover" , "Grinning feline" , "Wonderland animal" .)

I've seen this clue in The Times.

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