Set in contemporary Bethnal Green in east London, A Place to Go charts the dramatic changes that were happening in the lives of the British working-class at the time.

William is an unsuccessful guinea pig for a medical group interested in researching the common cold. He is soon fired and offered a job by the nearby National Atomic Research Center where they figure anyone who could fail at being a guinea pig is just what they need. They con William into thinking he will continue his guinea pig career by testing out some equipment for them before they send a group of astronauts to the moon.