Rider's request to cycle in surrounding area (10)

I haven't cracked this one yet — but the brilliant team at Fifteensquared have:

REQUEST with the letters “cycling” so tht the R goes to the end, followed by IN surrounding A (abbreviation for area). A horse-rider, especially one competing in riding events. Or the definition could be “rider’s” = relating to horse-riding = equestrian as an adjective.