In this study, we assume that the organisation of storytelling activity is sensitive to emerging norms and, specifically, to what is worth telling from a participant's perspective. We associate the methods of conversation analysis with a labovian approach to oral narratives and examine how storytelling is collaboratively and sequentially built during a radio interview parody. After discussing the relevance of parodic data to understand how media practitioners see their own practices (here: telling a story during a media interview), we provide a detailed analysis of a deviant case by considering the relations between structuring the telling and evaluating the tellability. The analysis leads to show what kinds of interactional resources are used to accomplish the activity: for instance, concurrent topic formulations, shared configurations of grammatical constructions, adjacency pairs. The study also points out how competing agendas can configure the activity in dissimilar ways. Eventually, it underlines the issues of being the interviewee and the storyteller at the same time.