A mug of vegetable juice (3)
I believe the answer is:
sap
This might be a double definition.
'a mug' is the first definition.
(thesaurus)
'vegetable juice' is the second definition.
'sap' can be an answer for 'juice' (juice from a plant). I am not certain of the 'vegetable' bit.
'of' is the link.
Can you help me to learn more?
(Other definitions for sap that I've seen before include "Enervate" , "Plant juice for silly ass" , "Undermine; fool" , "Moisture in wood of a tree" , "Watery substance in a plant" .)