Guessing, but what else could it be - the main spring lifts the shoe/foot/sole part, this brings the wheels closer making the string loose, which then gets rolled around the hub of the back wheel (by a second spring inside). When the smooth operator presses down with their weight, the string turns the rear wheel.
However, design like this would make for a fairly limited top speed that can be achieved by the mechanism alone. Needs gearing.
This is the clearest example I could image search (gif):
... actually:
This thing also operates in the same way, just without the gravity assist: