After a drink Jack went back to the dance (5)
I believe the answer is:
rumba
'the dance' is the definition.
(rumba is a kind of dance)
'after a drink jack went back' is the wordplay.
'after' says to put letters next to each other.
'a drink' becomes 'rum' (rum is a kind of drink).
'jack' becomes 'ab' (both can mean a sailor).
'went back' says the letters should be written in reverse.
'ab' backwards is 'ba'.
'rum'+'ba' is 'RUMBA'.
'to' is the link.
(Other definitions for rumba that I've seen before include "Ballroom dance of Cuban origin" , "Dance originating in Cuba" , "What to perform" , "South American dance" , "Latin beat" .)