Redcoat performing shows style (3,4)
I believe the answer is:
art deco
'style' is the definition.
(decorative style)
'redcoat performing' is the wordplay.
'performing' indicates anagramming the letters.
'redcoat' is an anagram of 'ART DECO'.
'shows' acts as a link.
(Other definitions for art deco that I've seen before include "1920-30s design style" , "Highly geometric style" , "Architecture and design movement of the 1920s and 30s" , "Style of design popular in the 1920s and 1930s" , "style of interior design" .)