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.