Second of spoons incorrect — not with fork (5)
I believe the answer is:
prong
'fork' is the definition.
(I've seen this before)
'second of spoons incorrect not with' is the wordplay.
'second of spoons' becomes 'p' (2nd letter of 'spoons').
'incorrect' becomes 'wrong' (synonyms).
'not' is a deletion indicator.
'with' becomes 'w' (short for with).
'wrong' with 'w' taken out is 'rong'.
'p'+'rong'='PRONG'
(Other definitions for prong that I've seen before include "Spike of fork etc" , "Pointed end of fork" , "Fork's point" , "branch" , "Something piercing" .)