Some wag possibly inspiring hot TV programme (4,4)
I believe the answer is:
game show
'tv programme' is the definition.
(I've seen this before)
'some wag possibly inspiring hot' is the wordplay.
'possibly' indicates an anagram.
'inspiring' means one lot of letters goes inside another.
'hot' becomes 'h'.
'some'+'wag'='somewag'
'somewag' anagrammed gives 'gamesow'.
'gamesow' going around 'h' is 'GAME SHOW'.
(Other definitions for game show that I've seen before include "Common TV format" , "Genre of TV programme" , "TV prize-winning programme" , "Competitive TV programme" .)