Among other things, you can now buy meters that have built-in tweezer probes. While not the first, the FNIRSI LCR-ST1 are affordable, and [TheHWcave] puts them to the test in the video below.

Dark area is evidence of damage in the multi-layer PCB. Sadly, this particular model is especially subject to that exact vintage electronics issue: electrolytic capacitor failure and leakage.