The people's vote in Ohio worried head of industry (3,6)
I believe the answer is:
hoi polloi
'the people's' is the definition.
('hoi polloi' can be a synonym of 'people')
'vote in ohio worried head of industry' is the wordplay.
'vote' becomes 'poll' (polling is a kind of voting**).
'in' indicates putting letters inside.
'worried' is an anagram indicator.
'head of' says to take the initial letters.
The initial letter of 'industry' is 'i'.
'ohio' with letters rearranged gives 'hoio'.
'poll' going inside 'hoio' is 'hoipollo'.
'hoipollo'+'i'='HOI POLLOI'
(Other definitions for hoi polloi that I've seen before include "ordinary people" , "The common people - in Greece" , "vulgar rabble" , "Proletariat" , "Riff-raff" .)