Arab artist appears in current quiz show (5)
I believe the answer is:
iraqi
'arab' is the definition.
(I've seen this before)
'artist appears in current quiz show' is the wordplay.
'artist' becomes 'RA' (Royal Academician, member of Royal Academy of Arts).
'appears in' means one lot of letters goes inside another.
'current' becomes 'I' (symbol for electric current).
'quiz show' becomes 'qi' (I can't justify this - if you can you should believe this answer much more).
'i'+'qi'='iqi'
'ra' going into 'iqi' is 'IRAQI'.
Can you help me to learn more?
(Other definitions for iraqi that I've seen before include "Native of Basra, perhaps" , "Probably a Muslim" , "around Baghdad?" , "From Basra, possibly" , "Middle Easterner" .)