Place for artwork that's right in kitchen (7)
I believe the answer is:
gallery
'place for artwork' is the definition.
(art gallery)
'right in kitchen' is the wordplay.
'right' becomes 'r' (common abbreviation).
'in' is an insertion indicator.
'kitchen' becomes 'galley' (galley is a kind of kitchen).
'r' going inside 'galley' is 'GALLERY'.
'that's' is the link.
(Other definitions for gallery that I've seen before include "For spectators or paintings" , "Golf spectators" , "Collection of art" , "Theatre area" , "exhibition hall" .)