A razor comprising: a support; a skin engagement surface; and a hair-severing member having a plurality of sawing teeth Z arranged along a hair-severing edge of the hair-severing member, each sawing tooth having a tooth tip (16,66) and tooth edges (15, 79) mutually connected via the tooth tip; wherein the hair-severing member: - is mounted to the support in a position relative to the skin engagement surface such that the hair-severing edge is exposed to a user's skin for sawing through hairs present on the skin by means of the sawing teeth when the skin engagement surface is in contact with the skin; and - is suspended relative to the support for allowing movement of each respective sawing tooth in a local direction of extension of the hair-severing edge at the position of the respective sawing tooth; characterized in that: the razor comprises a drive coupled to the hair-severing member for driving the hair-severing member relative to the support such that the sawing teeth move in the respective local directions of extension of the hair-severing edge with an average velocity larger than or equal to 10 m/s; and a spacing between the tooth tips of two successive sawing teeth is between 20 μm and 150 μm. a support; a skin engagement surface; and a hair-severing member having a plurality of sawing teeth Z arranged along a hair-severing edge of the hair-severing member, each sawing tooth having a tooth tip (16,66) and tooth edges (15, 79) mutually connected via the tooth tip; wherein the hair-severing member: - is mounted to the support in a position relative to the skin engagement surface such that the hair-severing edge is exposed to a user's skin for sawing through hairs present on the skin by means of the sawing teeth when the skin engagement surface is in contact with the skin; and - is suspended relative to the support for allowing movement of each respective sawing tooth in a local direction of extension of the hair-severing edge at the position of the respective sawing tooth; - is mounted to the support in a position relative to the skin engagement surface such that the hair-severing edge is exposed to a user's skin for sawing through hairs present on the skin by means of the sawing teeth when the skin engagement surface is in contact with the skin; and - is suspended relative to the support for allowing movement of each respective sawing tooth in a local direction of extension of the hair-severing edge at the position of the respective sawing tooth; characterized in that: the razor comprises a drive coupled to the hair-severing member for driving the hair-severing member relative to the support such that the sawing teeth move in the respective local directions of extension of the hair-severing edge with an average velocity larger than or equal to 10 m/s; and a spacing between the tooth tips of two successive sawing teeth is between 20 μm and 150 μm. the razor comprises a drive coupled to the hair-severing member for driving the hair-severing member relative to the support such that the sawing teeth move in the respective local directions of extension of the hair-severing edge with an average velocity larger than or equal to 10 m/s; and a spacing between the tooth tips of two successive sawing teeth is between 20 μm and 150 μm.