Sentai Filmworks has announced on their website that they are licensing the third season of the Rin-ne anime. The post says that this season will be added to the Spring 2017 anime season. They have not indicated if they will be streaming the series or if they will only be releasing the anime on DVD or BlueRay. The link to the post on their site is here.
Sentai Filmworks shows the story to be:
Saving lost souls on the tightest budget known to man is only a day’s work for half-human, half-Shinigami kind-of-thing Rinne! Together with the almost too-collected Sakura and his black cat Rokumon, life continues as normal as Rinne helps guide the dead to their final rest. However, new transfers are never a good sign, and a popular fortune teller ends up at Rinne and Sakura’s school as their new teacher. Things get chaotic when a strange girl wielding a scythe makes an appearance, and Rinne realizes that he might discover a major piece surrounding the mystery of his past.