To treat small areas of the skin, to obtain neat contours and to avoid pinching the skin, the appliance which is comprised of a motor 2 contained in a casing 1, a driving device 9, 11, 13 and an expiation head 5 includes a working surface defined by the end surface of a hollow cylinder 7 (=epilation head 5). In the interior of the hollow cylinder 7, a tweezing device is provided having tweezing members 16 acted upon by a revolving cam 18.