Is there a device that will alarm if power goes out to a refrigerator outlet?

Don't know about a ready made device, but, it can be easily done. All you need is a relay, the coil of which is fed from the same power supply as the refrigerator outlet. Take a feed from a different circuit than that of the refrigerator outlet (eg a fed from a lighting circuit) and wire that through the Normally Open contact of the relay and then on to a simple sounder or alarm or electric bell etc, or even a warning light. An electrican could easily whip something like this up, i would think for minimal cost. Or if your keen u could do it yourself.

Another answerJust google "refrigerator alarm" and you should get some good results. Refrigerator alarms are available from as low as $9.99