BIZARRE spinning toys

Do you mean something like lenz's law in the change of magnetic flux? I know that when you have a wire and the magnetic flux is changing, it will cause a current in the wire. The direction of the current is based of a right hand rule also and the direction of the electric current is in a direction so that the magnetic field it produces counters that at which is changing. Example if magnetic flux increases, the induced magnetic field will be in the opposite direction and vice versa. The gyroscope turns because it wants to counter the torque due to gravity and stay the same?