Possible Clues:

• Boring jockey caring for the Arabians, of course
• Accommodation is taking off and, of course, it's not something to get jumpy about
• Accidental French dramatist not entirely good — you can bet on it!
• Of course, it's a type of accent that explains what the heart is doing when distressed
• Florida's running down sport
• Get weary, covering most of circuit in sport
• Alf's taken up hunting for a sport
• Learner, in fits and starts, discovering activity on course