A compression device to be wrapped around the distal extremity of a patient for use in moderate to severe swelling/lymphedema. The device includes a flexible planar compression material of preferably short-stretch compression material. Fasteners are attached to the first and second band portions. The compression material in preferred embodiment contains short-stretch compression material with 20%-60% stretch. The device is designed such that it may be used to augment compression to the hand when used in conjunction with compression to the fingers and arm. The device is designed to be applied easier with one hand.