Awfully pleased to have passed (7)
I believe the answer is:
elapsed
'passed' is the definition.
('elapse' can be a synonym of 'pass')
'awfully pleased' is the wordplay.
'awfully' indicates anagramming the letters.
'pleased' anagrammed gives 'ELAPSED'.
'to have' is the link.
(Other definitions for elapsed that I've seen before include "Passed, of time" , "Pleased (anag.)" , "slipped away" , "Went by" , "Pleased to have passed" .)