A portable head-mounted device for cooling the under-eye area of skin, said device comprising at least one cooling element arranged to be located adjacent the skin of the under-eye area when the device is mounted to the head, the cooling element having a first side that faces the under-eye area of skin when the device is mounted to a head and a second side that faces away from the skin of the under-eye area; said at least one cooling element comprising: liquid retaining means adapted to retain a liquid provided thereto; and heat transfer means adapted to transfer heat by conduction to a liquid retained by the liquid retaining means to promote evaporation of said liquid thereby providing a cooling effect when the device is mounted to the head in use
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