Cooking device (5)
(Other definitions for rotisserie that I've seen before include "feature of expensive ovens" , "it can get pretty hot" , "Restaurant; rotating spit" , "Turning meat spit" , "Cooking appliance with spit" .)
'cooking device' is the definition.
(I've seen this before)
This is all the clue.
(Other definitions for grill that I've seen before include "Question closely" , "Cook under direct heat" , "Question; cook" , "Question aggressively" , "Cook by radiant heat" .)