Clun is a town in south west Shropshire, England, and the Shropshire Hills Area of Outstanding Natural Beauty. The 2011 census recorded 680 …Clun is a town in south west Shropshire, England, and the Shropshire Hills Area of Outstanding Natural Beauty. The 2011 census recorded 680 people living in the town. Research by the Campaign for the Protection of Rural England suggests that Clun is one of the "most tranquil" locations in England.