It's the last of the home games (5)
I believe the answer is:
omega
'it's the last' is the definition.
(thesaurus)
'of the home games' is the wordplay.
'of' indicates the answer is hidden within the clue.
'OMEGA' is hidden in the letters of 'home games'.
(Other definitions for omega that I've seen before include "Consummation" , "16 letter" , "Traditional story" , "Athenian character" , "Final Greek letter" .)