Look closely at wasp, say, gobbling middle of apple (7)
I believe the answer is:
inspect
'look closely at' is the definition.
(I've seen this before)
'wasp say gobbling middle of apple' is the wordplay.
'wasp say' becomes 'insect' (wasp is a kind of insect).
'gobbling' means one lot of letters goes inside another.
'middle of' indicates the central letters.
The centre of 'apple' is 'p'.
'insect' enclosing 'p' is 'INSPECT'.
(Other definitions for inspect that I've seen before include "Look at closely" , "Scrutinize, audit" , "Go over" , "Examine officially" , "Carefully examine" .)