Need another 240v breaker
Since it's low amperage, my guess would be that it's feeding a multi-wire branch circuit - two 120V circuits fed off of a three wire two pole breaker. They share a neutral just to save on running more wire, but have to be disconnected together - which is the cause of the two pole breaker.

I'd suggest flipping the breaker and see what it cuts, first guess would be in the kitchen. Since the meter doesn't use much power, as you said, you'd probably be good to share the breaker if it really is only feeding receptacles. I don't know of what the code requirements might be for installing something like this inside of a panel, but it definitely would work this way.

And of course, like the last poster said, breakers don't really cost that much if they need to be moved around a bit.