Red coat fashioned in 1930s style (3,4)
I believe the answer is:
art deco
'1930s style' is the definition.
(I've seen this before)
'red coat fashioned' is the wordplay.
'fashioned' is an anagram indicator.
'red'+'coat'='redcoat'
'redcoat' is an anagram of 'ART DECO'.
'in' acts as a link.
(Other definitions for art deco that I've seen before include "Early C 20 style" , "1920s and 1930s ornamental style" , "Style of 1920s/30s" , "Do trace (anag) - style of the 1920s and 1930s" , "1920s and 30s style of art and architecture" .)