A precision regulating device for the regulator pointer of a timepiece includes a balance cock and an index regulator mounted on the balance cock such that the index regulator is pivotable about a regulator axis. A hairspring key arranged on the index regulator at a radial distance from the regulator axis allows changing the active length of a hairspring of the oscillating system of the timepiece in response to pivoting of the index regulator. The index regulator also includes a radially directed regulator pointer. A counterpressure spring including a resilient arm has one end region fastened on the balance cock and another free end region arranged so that it forces the regulator pointer, under prestressing, in the pivoting direction and holds it in abutment against a regulating screw arranged in a rotatable manner in a threaded bore of the balance cock or a component connected to the balance cock. The resilient arm has a holding-down region which can be positioned on an axial side of the regulator pointer relative to the regulator axis.