Shine - like rubbish at Gateshead! (7)
I believe the answer is:
glitter
'shine' is the definition.
(I know that shine can be written as glitter)
'rubbish at gateshead' is the wordplay.
'rubbish' becomes 'litter' (litter is a kind of rubbish).
'at' says to put letters next to each other (I've seen this in other clues).
'gateshead' becomes 'g' (head letter of 'gates').
'litter' after 'g' is 'GLITTER'.
'like' acts as a link.
(Other definitions for glitter that I've seen before include "Sparkly decoration" , "Flashiness" , "Twinkle" , "Gleam" , "Sparkle on cards" .)