Charm of a fine cat's dissipating (9)
I believe the answer is:
fascinate
'charm' is the definition.
('fascinate' can be a synonym of 'charm')
'a fine cat's dissipating' is the wordplay.
'dissipating' indicates an anagram.
'a'+'fine'+'cats'='afinecats'
'afinecats' with letters rearranged gives 'FASCINATE'.
'of' is the link.
(Other definitions for fascinate that I've seen before include "Captivate" , "Enchant - beguile" , "Intrigue" , "Irresistibly interest" , "Engage admiring attention of" .)