An electrically-driven razor 10 includes a handle 12 and a slim, lightweight head 16. The handle includes a housing 13, a motor 30, a transmission 32, at least one driven shaft 46, 48, and a coupling 70. The motor is contained substantially within the housing. The head includes a skin-engaging portion 20. The coupling links the head to the housing. The at least one driven shaft extends into the head. The transmission is constructed to translate rotary motion of the motor to reciprocating motion of the at least one driven shaft. The head is pivotable in at least two dimensions, relative to the housing.