False belief held by academy there (4)
I believe the answer is:
myth
'false belief' is the definition.
(I've seen this before)
'held by academy there' is the wordplay.
'held by' indicates a hidden word.
'MYTH' is hidden in the letters of 'academy there'.
(Other definitions for myth that I've seen before include "(Urban?) story" , "Ancient story" , "Legend; fable" , "Fiction" , "Traditional allegory" .)