Most of his meat not on this uncovered grill (7)
I believe the answer is:
hibachi
This might be a double definition.
'most of his meat not on this uncovered' is the first definition.
The definition suggests a singular noun which matches the answer.
'grill' is the second definition.
(Japanese grill)
(Other definitions for hibachi that I've seen before include "Japanese brazier used for outdoor cooking" , "Purpose" , "Japanese-style portable grill" , "Japanese portable barbecue" .)