Quality of thanks recalled: statement of admiration (9)
I believe the answer is:
attribute
'quality' is the definition.
(I've seen this before)
'thanks recalled statement of admiration' is the wordplay.
'thanks' becomes 'ta' (UK informal version of 'thank you').
'recalled' shows that the letters should be reversed in order (to recall can mean to bring something back).
'statement of admiration' becomes 'tribute' (I've seen this before).
'ta' backwards is 'at'.
'at'+'tribute'='ATTRIBUTE'
'of' is the link.
(Other definitions for attribute that I've seen before include "An inherent quality" , "charge" , "Quality representative of person" , "Point" , "Ascribe, impute" .)