Cord wound round one in Greek style (5)
I believe the answer is:
doric
'greek style' is the definition.
'cord wound round one' is the wordplay.
'wound' is an anagram indicator (wound can mean twisted or turned around).
'round' indicates putting letters inside.
'one' becomes 'i' (Roman numeral).
'cord' anagrammed gives 'dorc'.
'dorc' placed around 'i' is 'DORIC'.
'in' is the link.
(Other definitions for doric that I've seen before include "In a classical Greek style of architecture" , "Of the oldest and simplest form of architecture" , "Classical building style" , "One classical order in architecture" , "Style of column" .)