According to the invention, the time-setting device (18) of the timepiece includes a time-setting lever (62) which carries a coupling device (64) and the pivoting of which is controlled between an uncoupled position and a coupled position corresponding to the time-setting position of the winding stem (22). The coupling device (64) includes an exit pinion (78) which, in the coupled position, meshes with a minute wheel (16), and a plate (90) which is pivotably mounted on the time-setting lever (62) and which is provided with first and second reversion wheels (94, 96) of parallel axes (A8, A9) meshing with each other. An intermediate wheel (60), which is driven in rotation by the winding stem (22) in the time-setting position, meshes with the first reverser wheel (94).