Artist put up prices (5)
I believe the answer is:
rates
'prices' is the definition.
(I've seen this before)
'artist put up' is the wordplay.
'artist' becomes 'ra' (Royal Academician, member of Royal Academy of Arts).
'put' becomes 'set' (setting is a kind of putting**).
'up' says the letters should be written backwards (in down clue: letters go upwards).
'set' back-to-front is 'tes'.
'ra'+'tes'='RATES'
(Other definitions for rates that I've seen before include "lectures" , "Charges, deserves" , "degrees" , "Speeds, evaluates" , "Property levy" .)