Yes, this is something that all shaft-driven bikes will exhibit to one degree or another, more technically known as counter-rotational force [centripetal force (I think) created by turning of the driveshaft].
cen·trip·e·tal force
(sĕn-trĭp′ĭ-tl)
The force that pulls an object moving in a circle toward the center of the circle and causes the object to follow a curving path. Earth's gravity acts as a centripetal force on the moon.
Did You Know? In one popular carnival ride, people stand with their backs against the wall of a cylindrical chamber. The chamber spins rapidly and then the floor drops out, but the riders remain pressed against the wall and don't fall down. Why? Most people would say that the reason people"stick" to the wall is because a
centrifugal, or outward, force is pushing them against it. In actuality, there is no outward force, no matter how strongly the people on the ride may think they feel one. In fact, it's just the opposite: the riders are really subject to an inward, or
centripetal, force. As the ride spins, it forces the riders to travel in a circle. Objects (including people) in motion tend to travel in a straight line at constant speed unless they're acted on by some external force. To make an object travel along a curved path, you have to keep forcing it toward the "inside" of the curve.The walls of the ride do just that, pushing the riders toward the center; the friction between the riders and the wall holds them up, so they seem to defy gravity.
This gyroscopic action is also known as "shaft effect" and "torque jacking"...