Clutch device for timepiece, comprising first and second coaxial rotary mobile parts (1, 2) able to take up a relative axial coupled position in which a rotation of the first mobile part (1) gives rise to a rotation of the second mobile part (2), and a relative axial uncoupled position in which a rotation of the first mobile part (1) does not give rise to a rotation of the second mobile part (2), characterised in that is also comprises a friction element of viscoelastic material (30) intercalated between the mobile parts (1, 2) in order to transmit the rotation of the first mobile part (1) in the coupled position to the second mobile part (2).