Local extremely ignorant, don’t you think? (5)
I believe the answer is:
innit
'don't you think?' is the definition.
'local extremely ignorant' is the wordplay.
'local' becomes 'inn' (local can mean someone's local pub).
'extremely' suggests removing the centre (only the extremes of the word are used).
'ignorant' with its middle taken out is 'it'.
'inn'+'it'='INNIT'
(Other definitions for innit that I've seen before include "that produces stress for some" , "word of emphasis" , "do you agree?" , "tag question" , "Mere spoken punctuation" .)