That Ohmmeter is called a "Leitungsprüfer" which literally means line tester. These crude devices were commonly used by telecomms people to check their POTS wiring, relais and strowger switches back in the day. A bit more sophisticated than a bulb and battery but not in any way a precision instrument. West German companies like Gossen, Metrawatt, Siemens also made similar devices but not until 1989 I suspect.
The 2R10 battery was quite common and usually called a flashlight battery in Europe, it contains two 1,5V cells stacked in a paper or plastic shroud, these single cells fit into these meters.
I nabbed a pic off the interwebs:
I'd suspect the case is bakelite or something similar, so I don't think it'd really survive a fall...
These things were mostly obsolete by 1989, at least in the west. It probably had something to do with the unique way East Germany was run that they still made them to the end.
Also quite interesting to note who made that thing: VEB Klingenthaler Harmonikawerke
That was a state owned (VEB means Volkseigener Betrieb - state owned company) maker of musical instruments mainly harmonicas, a bit of PA gear and electronic organs. Again, a sign of a state managed economy.