"Teekyū" is a fast-paced, gag-driven anime series centered around the absurd and chaotic daily lives of the members of the Teekyū Tennis Club at an all-girls high school. The narrative is episodic, with each short episode packed with rapid-fire humor, surreal situations, and exaggerated character interactions. The series lacks a conventional overarching plot, instead focusing on the comedic antics and eccentric personalities of its main characters.

The core group consists of four high school girls: Kanae Shinjō, the club's president, who is often the voice of reason but is prone to bizarre outbursts; Nasuno Takamiya, a wealthy and aloof transfer student with a penchant for making nonsensical remarks; Marimo Bandō, a hyperactive and unpredictable girl who frequently derails conversations with her erratic behavior; and Yuri Oshimoto, a quiet and seemingly normal girl who occasionally reveals her own quirks. Their interactions are characterized by exaggerated misunderstandings, absurd non-sequiturs, and a complete disregard for the rules of tennis, despite being members of a tennis club.

The humor in "Teekyū" is heavily reliant on wordplay, slapstick, and meta-references, often breaking the fourth wall or parodying other anime and pop culture tropes. The series frequently introduces random and surreal elements, such as alien invasions, time travel, and inexplicable transformations, which are treated as mundane occurrences by the characters. The lack of a serious narrative structure allows the series to explore a wide range of comedic scenarios, from mundane school life to fantastical and absurd situations.

Supporting characters, such as the stoic butler serving Nasuno and the occasional appearances of rival students, add to the chaotic atmosphere. Despite the absence of a traditional storyline, the series maintains a consistent focus on the absurdity of its characters' lives and their interactions, creating a unique and unpredictable comedic experience. The brevity of each episode, typically lasting only a few minutes, complements the rapid pacing and ensures that the humor remains fresh and engaging throughout the series.