There's no sensible single answer to that, as there are several different kinds of olympic cycling
Yes. It should be Olympic Cycling Team.
It is the sport of Olympic cycling. Long distance races include road cycling and cross-country cycling.
cycling
The Olympics
velodrome
Tennis and triathlon are summer Olympic events. Track cycling is an Olympic event.
bike
swimming and cycling
At London
france
Cross country skiing is a Winter Olympic sport. Cross country cycling is a Summer Olympic sport.