A balance spring support which is blanked out or stamped to a shape such as to embrace at least two faces of the outer end of the balance spring. A bond is used for securing said outer end of the balance spring to at least one of said faces. The support is detachable from the rest of the movement.

A one-piece regulator key for watch movements includes two spaced apart prongs projecting from and integral with a common support, each prong has an inward plane surface facing and substantially parallel to a like inward plane surface on the other prong and is provided at its free end with an inwardly projecting protuberance for decreasing the spacing between the prongs at their free ends.

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.

The collet is formed by a metal band (10) whose inner contour (11) delimits the recesses (11a, 11b, 11c) for driving the collet onto a balance staff (2) and whose outer contour (12) includes a function point (4) between the collet and the balance spring (9) located at the end of an arm (14) at a distance R from the centre 0 of the staff (2) greater than that of any other point (6, 8, 13, 15, 17) of the outer contour (12). It is characterised in that the inner contour (11) includes a discrete number of points of contact (1, 3, 5, 7) with the staff (2) distributed along identical or different angular apertures .alpha. and in that width "I" of the band (10) varies such that the compression forces of the contact points (1, 3, 5, 7) on the staff (2) do not substantially alter the distance R after driving in, leading to a friction torque allowing angular orientation of the collet on the staff (2) and not introducing any unbalance.