Actually, I was talking something a bit more scientifically-grounded than that. It would take a combination of shields, powerful engines, and massive power generators. Luckily, we could mine some of the necessary materials for the generators directly from Jupiter's atmosphere. The bad news is that rolling blackouts would be accompanied by suffocation and death, which might be good news if it prevents you from being crushed to death, frozen solid, or burned up as the city plumets into Jupiter's atmosphere. If you're really unlucky, you'll live long enough to take a swim in the giant oceans of acid that it has. Part of why it's considered more practical to colonize the moons and not the planet itself.
Now, some fun with meanings: "Cloud city" can mean "city that floats in the clouds" or "city that sits on the clouds." And, yes, there is a scifi basis for the first one. For some real fun, try "orbital defense array."