Persevere in rejecting denial after horse involved in suspicious result (8,2)

'persevere in rejecting denial' is the definition.
I know nothing about this answer so I cannot tell whether it can be defined by this definition.

'horse involved in suspicious result' is the wordplay.
I cannot really see how this works, but
'horse' could be 'gg' (geegee or GG is a childish term for a horse) and 'gg' is present in the answer.
an anagram of 'result' is 'strule' which is located in the remaining letters.
The remaining letters 'on' is a valid word which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).

'after' is the link.