Uncultured bachelor in inferior rank (7)
I believe the answer is:
lowbrow
'uncultured' is the definition.
(I've seen this before)
'bachelor in inferior rank' is the wordplay.
'bachelor' becomes 'B' (abbreviation e.g. BA=Bachelor of Arts).
'in' means one lot of letters goes inside another.
'inferior' becomes 'low' (associated in meaning).
'rank' becomes 'row' (I've seen this in another clue).
'low'+'row'='lowrow'
'b' placed within 'lowrow' is 'LOWBROW'.
(Other definitions for lowbrow that I've seen before include "Non-intellectual person - observe forehead" , "Lacking intellectual tastes" , "Anti-intellectual" , "Unsophisticated" , "Mass-market" .)