I could imagine there being an even older
purely-mechanical analogue to be
honest; perhaps with segments that could rotate and
were white on one side and
black on the other, against a black background.
While definitely newer than the 1910 patent mentioned
earlier, I have a mechanical 7 segment clock. I think
it was made somewhere in the late 70's/early 80's
(woodgrain plastic). From the front, it resembles a
run of the mill digital clock, save for the fact that
the display is white-orange. Inside is a purely
mechanical contrivance with plastic cards with slots
cut in them. A light bulb shines through them and
"projects" the numbers onto the face.
It's really cool, if only for the fact that it's
unusual. Not only can you hear the motor changing the
numbers, but when the numbers change, they kinda
"melt" into one another, as segments don't instantly
flick off all at once. It was made by General
Electric. My assumption was that they wanted to get
the style of the then-expensive digital LED clock, but
make it cheap. (motors and mechanical stuff used to
actually be cheaper than electronics - remember
that?).
-Ian