The invention relates to a drive system for a hand-held device for locally piercing human or animal skin, having a drive means which is arranged to provide a rotary drive movement; and a conversion mechanism (4b) which couples to the drive means for tapping the rotary drive movement and is arranged to provide a linear forward and backward movement starting from the rotary drive movement, the conversion mechanism (4b) having: a wobble plate arrangement arranged on a bearing means and coupling via a rotary joint to a distal joint component which is accommodated by the bearing means; a wobble plate formed on the wobble plate arrangement which, in operation, performs a wobbling motion due to the rotary driving motion; a tap, which is coupled to the wobble plate and is adjusted to provide the forward and backward linear movement for tapping by cooperation with the wobble plate; and an adjustment component, which is coupled to the wobble plate arrangement and is displaceably arranged such that for adjusting a stroke of the forward and backward linear movement provided at the tap, a tilt of the wobble plate with respect to the longitudinal direction can be changed by displacing the adjustment component. Furthermore, a drive module and a hand-held device are provided.