The Athenaeum chess club was founded in 1873 making it the oldest surviving chess club in London. Their home venue is in Endell Street (WC2). They compete in the London and Middlesex leagues as well as various Banks and Insurance companies competitions. Their home fixtures are on Mondays and Wednesdays starting at 6.45pm. They have about 60 members of varying strengths.
http://www.athenaeumchessclub.com Tubes: Covent Garden (5 mins), Tottenham Court Road (10 mins), Holborn (10 mins), Charing Cross (10 mins)