Alcohol leads to Bill's awful dance (5)
I believe the answer is:
rumba
'dance' is the definition.
(rumba is a kind of dance)
'alcohol leads to bill's awful' is the wordplay.
'alcohol' becomes 'rum' (rum is a kind of alcohol).
'leads to' suggests taking the first letters.
The first letters of 'bills awful' is 'ba'.
'rum'+'ba'='RUMBA'
(Other definitions for rumba that I've seen before include "Afro-Cuban or ballroom dance" , "music one can dance to" , "What to perform" , "Strictly round" , "South American dance" .)