Any suggestions on how to mount this clock using only a single mounting point?
It has a pendulum so it needs to be relatively level. I tried to run a piece of wire between the holes hoping to fish a piece of string or something to create a triangle for mounting but no such luck.
If its got a pendulum, you probably need the two anchor points to keep it from swinging.
If not, you could run a wire between the two points here and hang on a hook. Could drill a new hole in the middle of the mounting bracket and use that. Three hooks and a wire - one in the wall two in the holes and wire between, A spring between the two points could help with tensioning then add a hook in the middle.
Epoxy it to the wall.
I did not even think of it needing the two mounting points because of the pendulum.
If this is like similar clocks I've seen, the pendulum is only esthetic and has almost no weight. The friction of the clock resting against the wall would be more than enough to counteract any forces the pendulum would exert. Two holes shouldn't be necessary, but it will have to be pretty close to level for the tiny electromagnet to work.