A gripping device for holding, centring and/or collet-clamping a micromechanical or horological component in a clamping chamber delimited by a collet comprising at least one movable jaw,
- wherein said at least one movable jaw or a stationary jaw, or, when said collet comprises a plurality of jaws, at least some of said movable jaws and/or stationary jaws, comprises a reference surface arranged to support a said component directly bearing frontally thereagainst, and/or to support an intermediate retaining plate directly bearing frontally thereagainst, against which intermediate retaining plate a said component frontally bears, and
- wherein said gripping device comprises both, on the one hand, said stationary jaws comprising said reference surface, and arranged to support a said component bearing thereagainst, and said movable jaws arranged to centre and/or clamp a said component and/or a said intermediate retaining plate, and on the other hand at least one vacuum generator arranged to create a vacuum in said clamping chamber via at least one channel made in said movable jaws and/or said stationary jaws.