Refinement of English member swinging cane (8)
I believe the answer is:
elegance
'refinement' is the definition.
(I've seen this before)
'english member swinging cane' is the wordplay.
'english' becomes 'e' (abbreviation).
'member' becomes 'leg' (member can mean a limb).
'swinging' indicates an anagram.
'cane' anagrammed gives 'ance'.
'e'+'leg'+'ance'='ELEGANCE'
'of' is the link.
(Other definitions for elegance that I've seen before include "Gracefulness" , "Style; refinement" , "Fine quality" , "Graceful refinement" , "Grace, style" .)