Printed name of female below artist (3,3)
I believe the answer is:
ran off
'printed' is the definition.
'name of female below artist' is the wordplay.
'name' becomes 'n' (common abbreviation e.g. on forms).
'female' becomes 'f' (abbreviation).
'below' says to put letters next to each other.
'artist' becomes 'ra' (Royal Academician, member of Royal Academy of Arts).
'n'+'of'+'f'='noff'
'noff' after 'ra' is 'RAN OFF'.
(Other definitions for ran off that I've seen before include "Fled" , "Absconded" .)