After the drink, figure on going back with her (6)
I believe the answer is:
alexis
'her' is the definition.
'after the drink figure on going back' is the wordplay.
'after' says to put letters next to each other.
'the drink' becomes 'ale' (type of beer).
'figure on' becomes 'six' (six is a number. I am not sure about the 'on' bit.).
'going back' says the letters should be written in reverse.
'six' written backwards gives 'xis'.
'ale' put next to 'xis' is 'ALEXIS'.
'with' is the link.
Can you help me to learn more?
(Other definitions for alexis that I've seen before include "man or woman" , "Lia's ex has another name" .)