Reportedly tolerate support for some riding (8)
I believe the answer is:
bareback
'some riding' is the definition.
Both the definition and answer are adjectives. Maybe there's an association between them I don't understand?
'reportedly tolerate support' is the wordplay.
'reportedly' indicates a 'sounds like' (homophone) clue.
'tolerate' becomes 'bear' (synonyms).
'support' becomes 'back' (to back is to support or endorse).
'bear' sounds like 'bare'.
'bare'+'back'='BAREBACK'
'for' is the link.
Can you help me to learn more?
(Other definitions for bareback that I've seen before include "On a horse without a saddle" , "On an unsaddled horse" , "kind of riding" .)