You have heard of libration, right? The Moon exhibits both latitudinal and longitudinal libration - hence, an observer on about 1% of the surface of the Moon (i.e., at the so-called "limbs" at the apparent edge of the Moon as viewed from Earth) could watch the Earth completely dipping below / rising above the lunar horizon every month.
For observers elsewhere, the libration is still in effect, but the phenomenon wouldn't be as dramatic - the Earth would simply appear to wobble about 8° (due to longitudinal libration) and 7% (due to latitudinal libration), and therefore describe an analemma in the lunar sky.
The Earth has an apparent diameter of about 2° in the lunar sky, so this shift in position is not trivial.
Regards,
I was aware of this wobble but figured it wasn't very much. Thanks for the update.