A method and device for treating ocular disorders such as blepharitis, meibomitis, and dry eye syndrome. The method includes using an electromechanical device (10) to move a swab (14) relative to the eye (15) to create cyclical movement that impacts debris present at the eyelid margin and effectively removes the debris from the eye (15) to encourage healing and prevent further digression of the health of the eye (15). The device (10) includes a mechanical drive unit (12) operatively connected to an instrument (122) having a swab (14) and a rigid member (16) to create a precise relative movement of the swab (14) to the eye (15) and remove debris present therein. The rigid member (16) has a proximal end portion (12) with a cross-sectional member profile (180) that cooperates with a chuck (132) such that rotation within the chuck (132) is inhibited.