Vanquish does work on areas other than the abdomen. It always requires hydration and proper positioning and in doing so, can be used to reduce fat on the inner thighs, back, and "muffin top" with success.
Due to the shape of the Vanquish machine, our office has had success in treating areas other than the abdomen including the flanks, saddlebags, and "banana roll" under the buttock. Since the device has side panels, often the flanks or saddle bags can be targeted during treatment in addition to the abdomen. Your provider can evaluate to determine if you are a good candidate for the procedure, and, together, you can determine the best placement of the device.