Sketch of design.

Initial design -> Final design

Initially, my first design requires some sort of weight on the top to prevent the clock from tipping over because the battery would be on the vertical side of the clock. Then I realized I don't have to have the clock hang on the edge. Instead, I bend the clock so that it looks like a chair that sits on the edge (see the second image). This way, the upper body of the clock can stand without any support.