Can I weigh in and say that the clamp meter is of a type generally used in power systems work. The google reference suggests the meter is protected to 660 VAC by means of a 'component' connected in parallel with the input terminals.
My guess is that the 'component' is a Voltage Dependent Resistor and these are commonly used nowadays in all kinds of mains connected equipment.
The meter is autoranging, so how the protective component is isolated from the measuring leads for ohms values above say 200,000 ohms is not clear.
However, if the component is a protective device, then the meter should operate with it disconnected.
Microwave ovens give pulsed power and it is not surprising that an oven would have a supply voltage seriously greater than 600 Volt AND a huge supply current which would destroy the protective component in no time.
I would check the meter for operation as is,on ohms and volts and take it from there.