I'm tickled pink to confirm that yes, there is a lounge on the international side of CKG! It's creatively called the "International First & Business Class Lounge" and you can find it in Terminal 3A after security & immigration, between gates H4/5:
It's also much better equipped than your average domestic Chinese lounge, with not just the usual assortment of dry snacks, but free wine, beer, soft drinks, fruits, yoghurt:
In addition, if you're lucky enough to find yourself here during meal hours (6:30-9 AM, 11:30 AM-2 PM, 5:30-8 PM), not only is there a hot meal buffet, but a little counter dishing out Chongqing noodles made to order! I ordered mine 不太辣 and they were still murderously spicy, ask for yours local style if you dare...
One important potential catch: this is not an official Star Alliance lounge, but just a lounge that airports contract with. We checked in at Chongqing for our economy-class flights to HKG and were given lounge passes at check-in when we waved our Gold cards, but if you connect through here and don't have a lounge pass in hand, you may not be so lucky. (FWIW, there was another pay-per-use lounge as well nearby, but we didn't investigate further.)