If you pull a string attached to a toy gyroscope that is spinning in the counterclockwise direction when viewed from the top, the gyroscope's spinning axis will process or precess in a specific direction. The direction of precession depends on the design of the gyroscope and the way you pull the string.
In general, if you pull the string gently and smoothly, the gyroscope's axis will process in a direction perpendicular to both the direction of the pull and the direction of the spinning axis. This means that the axis will tilt or rotate around another axis.
The specific direction of precession can be determined using the right-hand rule. If you point your right thumb in the direction of the pull and curl your fingers in the direction of the spinning axis, your fingers will indicate the direction of precession.
Since you mentioned the spinning direction is counterclockwise as viewed from the top, assuming you pull the string in a direction perpendicular to the spinning axis, the axis will process in a direction determined by the right-hand rule.
Remember that this explanation assumes a simplified model of a gyroscope. Real-world factors such as friction, mass distribution, and other forces may affect the actual behavior of the gyroscope.