Handing over sandwich shop to extremely... (8)

I believe the answer is:

delivery

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'handing over sandwich' is the definition.
I can't judge whether this definition defines the answer.

'shop to extremely' is the wordplay.
'shop' becomes 'deli' (deli is a kind of shop).
'to extremely' becomes 'very' (I've seen this before).
'deli'+'very'='DELIVERY'

Can you help me to learn more?

(Other definitions for delivery that I've seen before include "A handing over of goods" , "Throw of a cricket ball" , "that might take 3-5 days" , "Process of giving birth" , "Style of speaking" .)

I've seen this clue in The Hindu.

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