Desperate search will include a day for such a game (8)
I believe the answer is:
charades
'such a game' is the definition.
(charades is a kind of game)
'desperate search will include a day' is the wordplay.
'desperate' is an anagram indicator (I've seen this in other clues).
'will include' means one lot of letters goes inside another.
'day' becomes 'd'.
'search' is an anagram of 'chares'.
'a'+'d'='ad'
'chares' placed around 'ad' is 'CHARADES'.
'for' acts as a link.
(Other definitions for charades that I've seen before include "Party guessing game" , "Games like this" , "Game in which answers are acted out" , "Miming parlour game" , "Miming games" .)