A dispenser having a fluid reservoir (1); a dispenser member (2) having a body (21) and an actuator rod (22) movable over a maximum rod stroke; a dispenser orifice (46); a rotary actuator member (4); a transmission member (5) that is engaged both with the dispenser member (2) and also with the rotary actuator member (4); and a cam mechanism (43, 55) for transforming turning of the rotary actuator member (4) into an axial movement of the actuator rod (22) or of the body (21). The cam mechanism (43, 55) defines a maximum cam stroke that is greater than the maximum rod stroke; and a resilient mechanism (56) acts axially to compensate for the extra amount of the maximum cam stroke and thus allow it to be followed so as to guarantee that the rod performs its maximum stroke in full.