Aides, say, shouldn't carry papers (6)
I believe the answer is:
essays
'papers' is the definition.
(academic papers)
'aides say shouldn't carry' is the wordplay.
'carry' indicates the answer is hidden within the clue (I've seen 'carries' mean this).
'ESSAYS' is hidden in the letters of 'aides say shouldnt'.
(Other definitions for essays that I've seen before include "Literary efforts" , "Attempts, writing" , "Tries the writings" , "Tries for theses?" , "texts" .)