Can of worms opened up here, Jadyn.
However, it does sound like a duff cut-out.
To check continuity across IN and OUT of the cut-out, I would use a simple old-school "buzzer" method.
Voltage testers have them built in. One lead to the IN and one lead to the OUT and you'll get a buzzer........... or not, if there's a break.
You're using a meter. That's fine, but it will depend on the type of meter and the scale being used. Some multimeters will deflect the needle automatically as it detects the scale needed.
This can be a nuisance since there may well be a teeny current flowing even though the mains voltage is not getting through.
Sometimes it's enough to move the needle (even if there is no connection to the mains.)
Multimeters have a battery in them. Hence the needle movement.
Er............. possibly ;o(((