In the late 1970s, I read a book about a man who is allowed to relive his life over and over.
It starts with him and his (female) cousin in his parent's apartment in New York - he is perhaps 14, but he has the memories of his future life. I think that he dies at 40 or so, and comes back to his 14-year-old self. This cycle repeats a number of times. The process is controlled and overseen by alien beings.
I think that the book was published in the Gollancz SF series, although I may be wrong about that. Any chance this rings bells with someone?