Clock Tower The clock tower stands in Market Square on the site of Chesham’s 18th Century Town Hall, which was demolished in 1965. The clock tower was constructed in 1992 using locally-produced bricks. It is similar in appearance to the clock turret that was added to the original Town Hall in the 19th century and features the original glass-dialled clock. The clock mechanism, dating from the mid-19th century, was restored by the Town Council. In a partnership project with Chesham Museum, the Town Bell was reunited with the clock, when it was hung in the clocktower in 2014. It now chimes upon the hour throughout the day.