In this paper – as the title says – I would like to write about utopian and dystopian elements in the modern, contemporary world using a novel from this decade, titled Never Let Me Go (1995) by Kazuo Ishiguro. The novel highlights some deep problems of humanity around the beginning of the 21st century using a combination of utopia and dystopia. On the following pages I present these elements and I also try to interpret them: what problems of modern society they reveal and what solutions they might offer.