Against Georgia having a dance (5)
I believe the answer is:
conga
'a dance' is the definition.
(I know that conga is a type of dance)
'against georgia' is the wordplay.
'against' becomes 'con' (as in pros and cons, for and against).
'georgia' becomes 'ga' (abbreviation for the US state).
'con'+'ga'='CONGA'
'having' acts as a link.
(Other definitions for conga that I've seen before include "Serpentine dance" , "What gets line moving rhythmically" , "Circuitous line dance" , "Cuban dance of three steps followed by a kick" , "Latin American "follow-my-leader" dance" .)