It was revealed on the official Japanese Twitter account that Teasing Master Takagi-san (Karakai Jozu Takagi-san) will be receiving a third television anime series as well as an anime film! The original tweet can be viewed below:
https://twitter.com/takagisan0174/status/1431240806552117248?s=20
As of now, there are no details about the film or when the third season will air. They are simply green-lit for now and will be coming in the future. The announcement was recently hinted by Shogakukan and then confirmed via the official Twitter account.
MyAnimeList.net describes the series as follows:
Having a friend that knows you inside out should be a good thing, but in Nishikata’s case, the opposite is true.
His classmate Takagi loves to tease him on a daily basis, and she uses her extensive knowledge of his behavior to predict exactly how he will react to her teasing, making it nearly impossible for Nishikata to ever make a successful comeback. Despite this, Nishikata vows to someday give Takagi a taste of her own medicine by making her blush out of embarrassment from his teasing.
Source: Twitter
