A little drunk, almost overturns (4)
I believe the answer is:
tips
'overturns' is the definition.
(I've seen this in another clue)
'a little drunk almost' is the wordplay.
'a little drunk' becomes 'tipsy' (I've seen this in another clue).
'almost' means to remove the last letter (almost the whole word is kept).
'tipsy' with its last letter taken off is 'TIPS'.
(Other definitions for tips that I've seen before include "Ends" , "Turns over" , "leavings in restaurant?" , "Useful hints" , "Gratuties" .)