Putney Wharf Tower  Putney Wharf Tower is a tall apartment building at Putney Wharf, Putney, London SW15 2JX, on the river Thames, close to Putney Bridge. It was originally a 1960s office block for International Computers Limited (ICL), until it was reclad in 2003 and redeveloped for residential use by Patel Taylor. It was built with a restaurant/bar, "The Rocket" on the ground floor, which was later taken over by the Wetherspoons pub chain. A curved riverside extension, terracotta cladding and an extra four floors were added to the 1960s block to create a block of 67 two and three bed apartments.