Swallow vermouth, dishonest over drink? Don't object (4,2,5,4)
I believe the answer is:
take it lying down
'don't object' is the definition.
I know nothing about this answer so I can't judge whether this works.
'swallow vermouth dishonest over drink?' is the wordplay.
I cannot really see how this works, but
'swallow' could be 'down' (I've seen this in another clue) and 'down' is present in the answer.
'vermouth' could be 'it' (short for 'Italian vermouth' as in 'gin and it') and 'it' is found in the answer.
'dishonest' could be 'lying' (synonyms) and 'lying' is located in the answer.
'drink?' could be 'take' (drinking is a kind of taking) and 'take' is present in the answer.
No letters remain.
This explanation may well be incorrect...
Can you help me to learn more?
(Another definition for take it lying down that I've seen is " Endure something passively".)