Awful shame appearing in short robe for programme (4,4)
I believe the answer is:
game show
'programme' is the definition.
(game show is a kind of programme)
'awful shame appearing in short robe' is the wordplay.
'awful' is an anagram indicator.
'appearing in' indicates putting letters inside.
'short' means to remove the last letter.
'robe' becomes 'gown' ('gown' can be a synonym of 'robe').
'shame' anagrammed gives 'amesh'.
'gown' with its final letter taken away is 'gow'.
'amesh' put into 'gow' is 'GAME SHOW'.
'for' acts as a link.
(Other definitions for game show that I've seen before include "TV prize-winning programme" , "Genre of TV programme" , "Competitive TV programme" , "Common TV format" .)