The device has a tool insert unit (14a) that comprises a cutting element (18a) which is movably mounted in the housing (16a), and freely arranged on a drive connection unit. The drive connection unit includes a drive connection element that is rotatably mounted in the housing. The drive connection element is connected with the cutting element of the tool insert unit. An eccentric is arranged in the drive connection unit. A coupling unit (26a) has a pair of coupling element (28a,32a) that is located on a tool holder (36a) in the housing. An independent claim is included for a garden machine tool system.