A degree in dancing (4)
I believe the answer is:
step
I believe this is a double definition.
'a degree' is the first definition.
(thesaurus)
'dancing' is the second definition.
(step dancing is a kind of dancing)
'in' is the link.
(Other definitions for step that I've seen before include "Prefix meaning related by remarriage" , "Pace; foothold" , "Action of the leg" , "Measure - pace" , "Measure taken" .)