Something to do with gum (4)

I believe the answer is:

chew

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'gum' is the definition.
(I know that gum is a more specific form of chew)

'something to do with' is the wordplay.
'something to do' becomes 'che' (I can't explain this - if you can you should believe this answer much more).
'with' becomes 'w' (abbreviation).
'che'+'w'='CHEW'

Can you help me to learn more?

(Other definitions for chew that I've seen before include "Ruminate" , "Work or grind between teeth" , "Munch" , "champ" , "bit of tobacco" .)

I've seen this clue in the Evening Standard.

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