Implants and methods for treating ocular disorders are disclosed. One implant has an inlet portion configured to extend through a portion of a tissue of an eye and an outlet portion configured to extend into and along a physiologic outflow pathway of the eye. The implant provides a flow path between an anterior chamber of the eye and the physiologic outflow pathway. One implant includes a body having adjacent regions of differing cross-sectional dimensions configured to anchor the implant and/or stabilize at least a portion of the flow path through the implant. One method involves inserting a fiber optic in an eye, locating a distal end of the fiber optic at a physiologic outflow pathway through which aqueous humor drains from an anterior chamber of the eye, and delivering a material comprising a therapeutic agent along the fiber optic and into the physiologic outflow pathway.