North American's promised land surrounding vacant deli (8)
I believe the answer is:
Here is my best explanation:
'north american's' is the definition.
(Canadian is an example)
'promised land surrounding vacant deli' is the wordplay.
'promised land' becomes 'canaan' (I've seen this before).
'surrounding' means one lot of letters goes inside another.
'vacant' says to hollow out the word (remove centre letters).
'deli' with its centre removed is 'di'.
'canaan' enclosing 'di' is 'CANADIAN'.
(Other definitions for canadian that I've seen before include "from place across the Pond", "Can Diana be a strange North American?", "Dianna can be a native of this country", "One from Manitoba", "Can Diana be from the country?", "One is from Winnipeg, say", "Nationality of citizen of Vancouver", "Nationality of citizen of Quebec", "Toronto native" and "A countryman".)