A portable, self-contained compression device is wearable by a person for applying intermittent compression on a limb of the person. The compression device comprises a sleeve having a longitudinal axis and adapted for placement on the limb. The device includes an actuator assembly on the sleeve comprising a flexible shaft operably connected to the sleeve and extending generally parallel to the longitudinal axis of the sleeve. The shaft is flexible to allow for conformance of the shaft to the limb when the sleeve is on the limb. The actuator assembly also comprises an actuator for rotating the flexible shaft in a first direction to constrict the sleeve to apply compression on the limb and for rotating the flexible shaft or allowing the flexible shaft to rotate in a second direction to relax constriction of the sleeve to relieve compression on the limb. Springs or elastic sections may be used to impart sequential, gradient compression on the limb.