Vulgar Conservative showing too much cheek? (5)
I believe the answer is:
crude
'vulgar' is the definition.
(synonyms)
I don't understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for crude that I've seen before include "Offensively coarse" , "Lacking refinement" , "Oil; rough" , "Raw, immature" , "Tasteless, not refined" .)