Become tired making banner (4)
I believe the answer is:
flag
This clue is a double definition.
'become tired' is the first definition.
(I've seen this before)
'banner' is the second definition.
(I've seen this before)
'making' is the link.
(Other definitions for flag that I've seen before include "Paving stone; iris; tire" , "Colours a paving stone" , "Become limp" , "fade" , "Symbol or emblem of a country" .)