'Riding school' definitions:

Definition of 'riding school'

noun

A school where horsemanship is taught and practiced

From: GCIDE

Riding \Rid"ing\, a.
1. Employed to travel; traveling; as, a riding clerk. "One riding apparitor." --Ayliffe. [1913 Webster]
2. Used for riding on; as, a riding horse. [1913 Webster]
3. Used for riding, or when riding; devoted to riding; as, a riding whip; a riding habit; a riding day. [1913 Webster]
Riding clerk. (a) A clerk who traveled for a commercial house. [Obs. Eng.] (b) One of the "six clerks" formerly attached to the English Court of Chancery.
Riding hood. (a) A hood formerly worn by women when riding. (b) A kind of cloak with a hood.
Riding master, an instructor in horsemanship.
Riding rhyme (Pros.), the meter of five accents, with couplet rhyme; -- probably so called from the mounted pilgrims described in the Canterbury Tales. --Dr. Guest.
Riding school, a school or place where the art of riding is taught. [1913 Webster]