An electrically driven shaver comprises a housing and at least one hair cutting element that is driven by an electromotor. A thermoelectric skin cooling element and the electromotor are electrically operable by a microcontroller and an on/off switch which is electrically connected with the microcontroller. The microcontroller is adapted to activate and deactivate operation of both the electromotor and the skin cooling element. The skin cooling element is located adjacent to the hair cutting element. The microcontroller is adapted to immediately deactivate operation of the electromotor and relative to that to deactivate operation of the skin cooling element at later point of time, both in response to the “off” actuation of the same on/off switch.