An anchoring system for an elongated medical article comprises an anchor pad and a retainer mounted upon the anchor pad. The retainer includes a base, a cover, and a compressible member including a receptacle into which the medical article to be retained is placed. When the cover is closed, the medical article is secured within the receptacle by the pressure of the compressible member and the cover upon the medical article. One or more biasing members act upon the compressible member to increase the frictional forces acting on the retained section of the medical article. The receptacle may form a channel that follows a curved path through the retainer. The retainer may also include guide extensions to support the medical article along a transverse bend toward the skin of the patient.