The interior setting of the Tiffany Flagship Next Door store bears codes of the brand while elevating with a clean and modern look. Image courtesy of Tiffany & Co. U.S. jeweler Tiffany & Co. has closed its storied Fifth Avenue store in New York for a two-year renovation and moved next door on 57th Street to a Trump Organization-owned property that got a test run as the men’s holiday pop-up store.