Artist applauds: I will be thrown out (4)
I believe the answer is:
hals
'artist' is the definition.
(I've seen this before)
'applauds i will be thrown out' is the wordplay.
'applauds' becomes 'hails' (hailing is a kind of applauding).
'will be thrown out' is a deletion indicator.
'hails' with 'i' removed is 'HALS'.
(Other definitions for hals that I've seen before include "Frans --, Dutch artist" , "Frans - , Dutch painter (The Laughing Cavalier)" , "Painter of The Laughing Cavalier, d. 1666" , "Laughing Cavalier artist" , "Royal portraitist" .)