I worked at the AG's office a few years back and was on the same floor as the investigators. The process essentially entails the AG's office investigators who are all retired police officers reviewing your application, running a DELJIS search on you, reviewing your criminal background check as provided by SBI through your fingerprinting, and making a recommendation as approve or deny and then stacking it on the desk of whichever deputy in the civil division has drawn CCDW application duties. As for exactly where in the process your application is at the point of receiving a phone call from them, your guess is as good as mine. The investigators are splitting duties between CCDW applications and other investigative duties, generally at the request of the consumer crimes division.