Personally I get around using cheap *** multi meter (25$-ish aneng an8009) and 300$ hantek scope.
I use multi meter for tracking shorts, reading diode readings and measuring resistance to ground (Diode, continuity and resistance is what I use on it.),
When I have some phone, laptop or something that uses I2C or SPI I check clokc and data pins on my scope to look at integrity of signal.
Sometimes when I do reverse engineering i use logic analyzer, but that is not often.
So basically oscilloscope is just glorified multi meter if you look from basic stand point, good side is that it shows voltage change per time, that can help you check quick shorts on power supplies or something like that.