The people with nothing rising up in locality (8)
I believe the answer is:
populace
'the people' is the definition.
(populace is a kind of people)
'nothing rising up in locality' is the wordplay.
'nothing' becomes 'o' (looks like zero - 0).
'rising' shows that the letters should be reversed in order (going up in a down clue).
'in' is an insertion indicator.
'locality' becomes 'place' (place is a kind of locality**).
'up' reversed gives 'pu'.
'o'+'pu'='opu'
'opu' placed into 'place' is 'POPULACE'.
'with' acts as a link.
(Other definitions for populace that I've seen before include "Masses" , "Residents" , "Inhabitants" , "Citizens" , "People generally" .)