Artist about to put up list (4)
I believe the answer is:
rota
'list' is the definition.
(rota is a kind of list)
'artist about to put up' is the wordplay.
'artist' becomes 'ra' (Royal Academician, member of Royal Academy of Arts).
'about' indicates putting letters inside.
'put up' is a reversal indicator.
'to' written backwards gives 'ot'.
'ra' going around 'ot' is 'ROTA'.
(Other definitions for rota that I've seen before include "Repetitious canon" , "Roll call or roster" , "Duty schedule" , "List of duties taken in turn" , "Work schedule" .)