This article examines the relationship between time and authority in courts of law. Newness, in particular, poses an obstacle to a court's efforts to establish authority because it tethers the institution to a timeline in which the human origins of the court and the political controversies preceding it are easily recalled. Moreover, the abbreviated timeline necessarily limits the body of legal authority (namely, the number of judgments) that could have been produced. This article asks how a court might establish its authority when faced with such problematic newness. Based on extensive ethnographic research at the Caribbean Court of Justice, I demonstrate how the staff and judges at this relatively young tribunal work to create a narrative in which the Court transcends its own troublesome timeline. They do this by attempting to construct a time‐transcendent principle of Caribbeanness and proffering the Court as a manifestation of this higher authority. The Court's narrative of its timelessness, however, is regularly challenged by far more familiar tales of its becoming, suggesting that in this court, as in all courts, the work of building and maintaining authority is ongoing.