Feature of website game — hope for shake-up (4,4)
I believe the answer is:
home page
'feature of website' is the definition.
'game hope for shake-up' is the wordplay.
'for shake-up' indicates anagramming the letters.
'game'+'hope'='gamehope'
'gamehope' anagrammed gives 'HOME PAGE'.
(Other definitions for home page that I've seen before include "website feature" , "Introductory part to a website" , "First point of call on website" , "Internet site intro" , "Website domain?" .)