The wrong cut is trimmed in one type of restaurant (6)
I believe the answer is:
ethnic
'one type of restaurant' is the definition.
I can't tell whether this definition defines the answer.
'the wrong cut is trimmed in' is the wordplay.
'wrong' indicates anagramming the letters.
'cut' means to remove the last letter.
'trimmed' becomes 'nc' (I can't justify this - if you can you should believe this answer much more).
'in' is an insertion indicator.
'is' with its final letter removed is 'i'.
'i' put into 'nc' is 'nic'.
'the' is an anagram of 'eth'.
'eth'+'nic'='ETHNIC'
Can you help me to learn more?
(Other definitions for ethnic that I've seen before include "Relating to a particular culture" , "Relating to a cultural tradition" , "Relating to cultures" , "Characteristic of a human group" , "Exotic" .)