Award integrity (6)
I believe the answer is:
honour
I believe this clue is a double definition.
'award' is the first definition.
(I know that award can be written as honour)
'integrity' is the second definition.
(I've seen this before)
(Other definitions for honour that I've seen before include "Integrity or outward symbol of distinction" , "Confer with a symbol of distinction" , "King, say" , "Great respect, perhaps among thieves" , "Show respect towards, parents say" .)