Finish off ham, say, first sliced off (3)

I believe the answer is:

eat

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'finish off' is the definition.
(I've seen this in another clue)

I don't understand the remainder of the clue.

(Other definitions for eat that I've seen before include "Corrode" , "Be corrosive" , "get stuck in" , "Make food disappear" , "Have 23d [MEAL]" .)

I've seen this clue in The Telegraph.

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