Commons vote restricted by new Ohio centre of communication (3,6)
I believe the answer is:
hoi polloi
'commons' is the definition.
(hoi polloi means the common people)
'vote restricted by new ohio centre of communication' is the wordplay.
'vote' becomes 'poll' (polling is a kind of voting).
'restricted by' is an insertion indicator (I've seen this in other clues).
'new' indicates anagramming the letters.
'centre of' indicates the central letters.
The middle of 'communication' is 'i'.
'ohio' anagrammed gives 'hoio'.
'poll' placed inside 'hoio' is 'hoipollo'.
'hoipollo'+'i'='HOI POLLOI'
(Other definitions for hoi polloi that I've seen before include "The unwashed masses!" , "commoners" , "ordinary people" , "The common people - in Greece" , "The common people generally" .)