I inquired about the process a while back. Maybe 2 years ago. I had issues with a 12ga ATI Turkey Fowl with the bottom shooting about 5-6 inches low. For some reason I did not pursue with Briley and decided to try and move pattern on my own. I had an older Carlson .680 extended turkey choke that I screwed into my bottom barrel and filed/dremeled the top section of the choke. Took a little at a time and shot between. I started feathering from about half the diameter of the choke up to the top section, in the direction I wanted to move pattern, and this worked.
Just saw a YouTube video on Blue Collar Outdoors, where the owner of Meadow Creek Mounts had used Briley to cut him a Eccentric choke for his CZ Over Under and it seemed to work great for him. He said that when he had his done he sent Briley in 3 shots from each barrel at 30 yards I believe, using the same choke in each barrel. He then sent pattern results to Briley and they cut him a new choke. Unsure if that is the process now as he said he had it done several years back and wasn't 100% sure, but it sure seems like a good option.
If anybody has had any experience using Briley for an eccentric choke I would be interested in their results also. Will be following this post.
Ridge Rooster