Disreputable and unsteady, speaking drunkenly (6)
I believe the answer is:
louche
'disreputable' is the definition.
(similar in meaning)
I don't understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for louche that I've seen before include "Seedy" , "Shifty or disreputable" , "Appealingly disreputable" , "Of questionable taste or morality" , "Shasy or questionable, from France" .)