Brought up to be British and Socialist? (4)
I believe the answer is:
bred
'brought up' is the definition.
(I've seen this before)
'british and socialist?' is the wordplay.
'british' becomes 'b' (abbreviation e.g. in 'BBC').
'and' means one lot of letters go next to another.
'socialist?' becomes 'red' (red is a kind of socialist**).
'b'+'red'='BRED'
'to be' acts as a link.
(Other definitions for bred that I've seen before include "Produced offspring" , "Had children" , "Propagated, raised" , "Bore" , "Engendered" .)