Carted off by round movement (3,4)
I believe the answer is:
art deco
'movement' is the definition.
(I've seen this before)
'carted off by round' is the wordplay.
'off' is an anagram indicator.
'by' is a charade indicator (letters next to each other).
'round' becomes 'o' (round can mean a round object).
'carted' anagrammed gives 'artdec'.
'artdec'+'o'='ART DECO'
(Other definitions for art deco that I've seen before include "pre-war style" , "Early C 20 style" , "style of interior design" , "Old style" , "Nineteen twenty's and thirties style" .)