The successful delivery of patient-centered care hinges on clinical affiliation for patients' personal needs and experiences. Narrative competence is a mode of thinking and set of actions that widens the clinical gaze beyond logico-scientific cognition. In this article, we investigate a tool that enables clinicians to rehearse their skills in narrative competence. We apply the narrative competence framework developed by the founding practitioners of narrative medicine to personal accounts of illness and patienthood published on the Internet. We describe our use of the five-point framework in the close reading of 214 accounts by people with the life-threatening skin cancer melanoma.