The weak half of bitter, means to imbibe (6)
I believe the answer is:
watery
'the weak' is the definition.
(thesaurus)
I cannot understand how the remainder of the clue works.
Can you help me to learn more?
(Other definitions for watery that I've seen before include "Aqueous" , "Dilute; weak, pale" , "Weak, too diluted" , "Insipid" , "Overly diluted, thin" .)