Socially awkward cowboy never finished end of ride (6)
I believe the answer is:
gauche
'socially awkward' is the definition.
(I've seen this in another clue)
'cowboy never finished end of ride' is the wordplay.
'cowboy' becomes 'gaucho' (term for a South American cowboy).
'never finished' means to remove the last letter.
'end of' says to take the final letters.
The final letter of 'ride' is 'e'.
'gaucho' with its final letter removed is 'gauch'.
'gauch'+'e'='GAUCHE'
(Other definitions for gauche that I've seen before include "Clumsily tactless" , "left for Paris" , "Lacking ease of manner (from the French)" , "Tactless - blundering" , "Awkward in manner, tactless" .)