They made instruments for military applications, and car clocks, where were really normal 16 size pocketwatch movements with crude finishes. Late in the history of the company, they sold some travel alarm clocks and other items using imported movements, not made in the American factory.
And along comes this obviously quite rare example, made about 1923...
As we can see, it's clearly an early clock, probably for the bedside. The stand portion folds up flat against the back. The stem is at the bottom as it would be on a car clock of that time.
I've never seen anything like this before. The large square dial with luminous hands and markers, marked Elgin, and rather nice nickle plated case indicate that this was indeed made and sold as a clock. It's not something done by a dealer or jeweler. Did Elgin actually make this case at the Elgin Illinois factory? It would certainly seem so.