Slicing starter for hummus and Ros? - the top d'Anjou - all consumed by Carol! (9)

I believe the answer is:

shredding

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'slicing' is the definition.
The definition and answer can be both to do with contact as well as being present participle verbs.
Maybe there's a link between them I don't understand?

I don't understand the rest of the clue.

Can you help me to learn more?

(Other definitions for shredding that I've seen before include "Completely destroying (secret papers)" , "Tearing into thin strips" .)

I've seen this clue in the Irish Times and the Irish Times (Crosaire).

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