This article attempts to give a state-of-the-art picture of impoliteness studies and to indicate a few prospective research directions to enrich them. It critically surveys a number of theoretical and methodological problems (impoliteness vs. rudeness; intention; sanctioned face-threat; and impoliteness strategies), as well as the paramount topics of investigation (such as disagreement; arguments; insults, taboo words; or sarcasm), and discourse domains in which impoliteness can be found. Importantly, this paper brings to focus a selection of notions central to impoliteness, albeit not yet widely recognized in the scholarship on impoliteness. These include: slurs; pejoratives; and a number of phenomena promoted by computer mediated communication (e.g., flaming or trolling).