This device (1) included, 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, on the other hand, elements (24 1 and 24 2) which work the skin and which are mounted movably in the casing with sliding contact (28 1, 28 2) of the casing. To be able to relocate the skin reliably and effectively, while 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. This device (1) comprises, on the one hand, a housing (10) defining a treatment chamber (4) open on the skin and adapted to be connected to a vacuum source, and, on the other hand, elements of skin work (24 1 and 24 2), movably mounted in the housing in sliding contact against associated housing walls (28 1, 28 2). To pinch the skin reliably and efficiently, while allowing the device to be easy and precise to move along sensitive skin areas to be treated, such as areas of high curvature, each work element is movable relative to the housing , both in rotation (R) on itself around a central axis (Z1-Z1, Z2-Z2) of the element and in translation (T) along this axis against the associated wall.This device (1)comprises, on the one hand, acasing (10) defining a treatmentchamber (40) which opens ontothe skin and is designed to beconnected to a vacuum source and,on the other hand, elements (24 1and 24 2) which work the skin andwhich are mounted movably in thecasing with sliding contact againstassociated walls (28 1, 28 2) of thecasing. To pinch the skin reliablyand effectively, while allowing thedevice to be moved easily and withprecision along areas of skin thatare awkward to treat, such as highlycurved areas, each working elementis displaceable relative to the casingboth in rotation (R) on itself abouta central axis (Z1-Z1, Z2-Z2) of theelement and also in translation (T)along this axis against the associated