Refusing to be going downhill (9)
I believe the answer is:
declining
This clue is a double definition.
'refusing' is the first definition.
('decline' can be a synonym of 'refuse')
'going downhill' is the second definition.
(I've seen this before)
'to be' is the link.
(Another definition for declining that I've seen is " Going downhill".)
I've seen this clue in The Times.
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