One question...does your clamp require a battery or external supply? If so, then it is a hall cell based unit.
By their nature, Hall cells read DC + AC. But hall cells are prone to drift which must be compensated.
One of the most expensive sections in a hall-cell based DC ammeter are the automatic degaussing and temperature compensation circuits.
Cheap ammeters have a potentiometer which you must constantly adjust to eliminate the drift.
Even cheaper ammeters, remove the potentiometer altogether, and add a coupling capacitor which will block the DC component while allowing AC to pass.
The cheapest meters will even get rid of the coupling capacitor, and ask the user to only use it as an AC meter.