Conservative girl not so much democratic (9)
I believe the answer is:
classless
'democratic' is the definition.
(similar in meaning)
'conservative girl not so much' is the wordplay.
'conservative' becomes 'C' (UK political abbreviation).
'girl' becomes 'lass' (lass can informally mean a girl).
'not so much' becomes 'less' (I've seen this in another clue).
'c'+'lass'+'less'='CLASSLESS'
(Other definitions for classless that I've seen before include "Society of socialist ideal" , "Lacking distinction" , "lacking social order" , "having no social distinctions" , "like an unemployed teacher" .)