Redcoat is dancing, 1920s style! (3,4)
I believe the answer is:
art deco
'1920s style' is the definition.
(art style of the 1920s)
'redcoat is dancing' is the wordplay.
'is dancing' indicates anagramming the letters.
'redcoat' with letters rearranged gives 'ART DECO'.
(Other definitions for art deco that I've seen before include "Nineteen twenty's and thirties style" , "Highly geometric style" , "Aesthetic style" , "Architecture/design movement of the 1920s and 30s" , "nineteen thirty's style" .)