Some multimeters have a pretty high open circuit voltage in continuity test mode and resistance mode (possibly to improve SNR?), but they are current limited. For example, the Fluke 87V behave like an 1mA constant current source with a maximum output voltage of ~7.3V in continuity mode.
I think it is generally safe to use these multimeters to probe ICs, as most of them have clamping diodes. The question is, will capacitors with a low voltage rating be damaged (with a low limited current)? This is a common scenario when I probe power rails on a board to test for short circuits: