Art finalist took in gallery (4)
I believe the answer is:
tate
'gallery' is the definition.
(Tate Modern, Tate Britain etc)
'art finalist took' is the wordplay.
'art finalist' becomes 't' (I can't explain this - if you can you should believe this answer much more).
'took' becomes 'ate' (eating is a kind of taking).
't'+'ate'='TATE'
'in' acts as a link.
Can you help me to learn more?
(Other definitions for tate that I've seen before include "he backed Sugar Cube" , "Sugar merchant and art gallery philanthropist, founder, d. 1899" , "Name of two London galleries" , "Sugar refiner and art gallery founder, d. 1899" , "Art Gallery donor" .)