Extremely noteworthy cryptic with a recent anniversary (9)
I believe the answer is:
centenary
'anniversary' is the definition.
(centenary is a kind of anniversary)
'extremely noteworthy cryptic with a recent' is the wordplay.
'extremely' suggests removing the centre (only the extremes of the word are used).
'cryptic with' indicates an anagram (a cryptic or obscure order of the letters).
'noteworthy' with its middle removed is 'ny'.
'a'+'recent'='arecent'
'ny' with its letters mixed up with 'arecent' makes 'CENTENARY'.
(Other definitions for centenary that I've seen before include "celebration" , "... so celebrating this next month" , "significant anniversary" , "100th anniversary" , "One hundredth anniversary" .)