This device (1) comprises, on the one hand, a casing (10) defining a treatment chamber (40) which opens onto the skin and is designed to be connected to a vacuum source and, on the other hand, elements (241 and 242) which work the skin and which are mounted movably in the casing with sliding contact against associated walls (281, 282) of the casing. To pinch the skin reliably and effectively, while allowing the device to be moved easily and with precision along areas of skin that are awkward to treat, such as highly curved areas, each working element is displaceable relative to the casing both in rotation (R) on itself about a central axis (Z1-Z1, Z2-Z2) of the element and also in translation (T) along this axis against the associated wall.
