Tim Rice and a couple of members of ABBA already have, and I love it. It was made in the 80's and is really a story about the Cold War as interpreted through a chess match between and American (roughly modeled on Fischer) and a Russian.
A musical about chess
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I'm a great fan of West End musicals, especially ones by Sir Andrew Lloyd Webber and one of my dreams would be for him to make a musical about chess.