A clamping device including a first and second magnet is provided. The first magnet includes predetermined first and second side surface areas, and a first friction element on least one of the first and second side surface areas. The second magnet includes predetermined third and fourth side surface areas, and a second friction element on at least one of the third and fourth side surface areas. The first and second friction elements of the first and second magnets are arranged opposite to each other and define a clamping area between the first and second magnets.