Annoyed after small mix-up that effects riders (10)
I believe the answer is:
saddlesore
'effects riders' is the definition.
I know nothing about this answer so I can't judge whether this works.
'annoyed after small mix-up' is the wordplay.
'annoyed' becomes 'sore' (I've seen this in another clue).
'after' is a charade indicator (letters next to each other).
'small' becomes 's' (abbreviation - e.g. clothes size).
'mix up' becomes 'addle' (addling is a kind of mixing up).
's'+'addle'='saddle'
'sore' put after 'saddle' is 'SADDLESORE'.
'that' acts as a link.
Can you help me to learn more?
(Another definition for saddlesore that I've seen is " Suffering from cycling".)