Eagerness of Cyril at a review (8)
I believe the answer is:
alacrity
'eagerness' is the definition.
(I've seen this before)
'cyril at a review' is the wordplay.
'review' is an anagram indicator.
'cyril'+'at'+'a'='cyrilata'
'cyrilata' is an anagram of 'ALACRITY'.
'of' acts as a link.
(Other definitions for alacrity that I've seen before include "'Quick, cheerful enthusiasm (8)'" , "Showing brisk readiness" , "Prompt enthusiasm" , "Eager haste" , "Cheerful willingness" .)