The gyrocopter cannot stall, no matter how slow it's flying, the pilot can allways keep control. The gyrocopter will simply begin to settle and loose altitude at slow speed. Properly handled with an application of power, the gyrocopter can always regain flying speed or can be landed.
As a fixed-wing airplane fly's slower and slower, the pilot would become very concerned about a stall. At a slow enough speed the wing will simply stop flying. The airplane will fall until it regains enough speed to fly, or if it stalls near the ground, there is little chance of survival.

Since the gyrocopter does not stall, it cannot spin. A spin happens when one wing of an airplane stalls while the other keeps flying. While the gyrocopter won't stall or spin, it does not means it is "foolproof". The gyrocopter can be dangerous, just as cars are dangerous. Gyrocopters and cars are powerful vehicles that can easyly go up to 150 Km per hour, but the difference is that the gyrocopter has a better safety record than cars and they also have a better safety record than factory built fixed wing airplanes.