High renown or honour (5)
I believe the answer is:
glory
This clue is a double definition.
'high renown' is the first definition.
(I've seen this before)
'honour' is the second definition.
(glory is a kind of honour)
(Other definitions for glory that I've seen before include "Lustre, prestige" , "See 8" , "Humpty Dumpty's compelling argument" , "The Power and the . . . . . (Graham Greene)" , "Magnificence" .)