Crossword Genius

On a horse, having the most enjoying ride (8)

Ross

I believe the answer is:

bestride

I'm a little stuck... Click here to teach me more about this clue!

'most enjoying ride' is the definition.
I can't tell whether this defines the answer.

'on a horse having' is the wordplay.
'on' means one lot of letters go next to another.
'a horse' becomes 'ride' (animal that can be ridden).
'having' becomes 'best' (I can't explain this - if you can you should give a lot more credence to this answer).
'ride' after 'best' is 'BESTRIDE'.

'the' acts as a link.

Can you help me to learn more?

(Other definitions for bestride that I've seen before include "Get across" , "Have a leg either side of" , "Do this to horse" , "Dominate" , "Mount" .)

I've seen this clue in the Sydney Morning Herald.
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