A shaving head unit (3) comprises at least two shaving elements (6), each being provided with: - a separate base portion (9) comprising at least a separate space (13) for receiving cut-off hairs, - a movably arranged cutter member (10) for cutting off hair, - a drive shaft (30) accommodated in the base portion for driving the cutter member, - a pivot pin (29) connected to the cutter member, which pivot pin is detachably coupled to the drive shaft, a cap (7) with a plurality of openings for letting through hairs to be cut off by the cutting member and to be received in the space. The cap is movable independently of the cap of another shaving element with respect to the base portion between a closed position and an opened position in which cut off hairs can be removed from the space. Each shaving element comprises a separate support device (21) being movably attached to the cap of the shaving element. When the cap is in its opened position the separate support device is movable between a retaining position in which the cutter member is retained in the cap and a release position in which the cutter member can be removed from the cap.