Uppity person found around no outer suburb (4)
I believe the answer is:
snob
'uppity person' is the definition.
(I've seen this in another clue)
'around no outer suburb' is the wordplay.
'around' means one lot of letters goes inside another.
'outer' suggests removing the centre.
'suburb' with its middle removed is 'sb'.
'no' inserted into 'sb' is 'SNOB'.
'found' acts as a link.
(Other definitions for snob that I've seen before include "blackleg" , "Person with pretensions to higher social status" , "Prig" , "High-minded type" , "One has pretensions" .)