A variable timepiece display mechanism includes a resilient hand with a drive pipe integral with a single-piece flexible strip including flexible segments joined at tips, a first segment thereof extends between the first pipe and a first tip. The mechanism also includes a driver for driving the pivoting of the pipe, and a stressor for stressing the first flexible segment in order to vary the position of the first tip relative to the output axis, as a function of the forces applied to the flexible strip. The drier and/or the stressor includes a first shaped gear train and/or a second shaped gear train in order to accelerate, stabilize the speed of, or slow at least the pipe over a part of the angular travel thereof.