Dave peeled online supermarket's fruit (7)
I believe the answer is:
avocado
'fruit' is the definition.
(avocado is a kind of fruit)
'dave peeled online supermarket's' is the wordplay.
'peeled' means to look at the middle letters (outer letters are peeled off).
'online supermarket' becomes 'Ocado' (Ocado is an online grocery store).
The middle of 'dave' is 'av'.
'av'+'ocado'='AVOCADO'
(Other definitions for avocado that I've seen before include "Dull greenish colour" , "Tropical fruit with a yellow creamy flesh" , "Yellowish green" , "Light green colour" , "Evergreen" .)