The quick way to get a little drunk (5,3)
I believe the answer is:
short cut
'the quick way' is the definition.
(I've seen this before)
'a little drunk' is the wordplay.
I cannot quite see how this works, but
'little' could be 'short' (similar in meaning) and 'short' is present in the answer.
'drunk' could be 'cut' (I've seen this before) and 'cut' is found within the answer.
This accounts for all the letters.
This explanation may well be incorrect...
'to get' is the link.
Can you help me to learn more?
(Other definitions for short cut that I've seen before include "time-saver" , "Time-saving route" , "Fast route" , "Time- or distance-saving route" , "What skinhead asks for" .)