The device (1) has a grip housing (3) comprising an electric drive for power transmission to an abrasion unit (2). The abrasion unit is elastically supported opposite to the housing and is encompassed by a protective sleeve (11) such that an upper edge of the protective sleeve lies behind an abrasion surface of the abrasion unit in an unloaded condition. The elastic supporting of the abrasion surface during high pressure on the abrasion unit permits evasion of the abrasion surface up to the upper edge of the sleeve. The abrasion surface has a rounded section in its edge region.