Style redcoat adapted (3,4)
I believe the answer is:
art deco
'style' is the definition.
(decorative style)
'redcoat adapted' is the wordplay.
'adapted' indicates an anagram.
'redcoat' with letters rearranged gives 'ART DECO'.
(Other definitions for art deco that I've seen before include "Style popular in the 1920s and '30s" , "Nineteen twenty's and thirties style" , "Old style" , "1920-30s design style" , "1920s and 1930s style of ornamentation" .)