An implantable device for treatment of glaucoma of the eye. In one aspect, the device includes an elongate duct for diverting aqueous humor from the anterior chamber of the eye, the elongate duct having a central axis with a proximal end and distal end opposite one another. A least one element is spaced apart from the proximal end and the distal end of said elongate duct and extends radially outward beyond an outer surface of said elongate duct in at least two directions transverse to the central axis of said elongate duct, wherein the at least one element has a distal portion with a tapered profile facing the distal end of said elongate duct. The at least one element is configured to deform in a tissue passage leading into the anterior chamber of the eye as it is inserted into the tissue passage in response to forces applied by surrounding ocular tissue of the tissue passage. Other aspects are also described and claimed.