That's a hard question. Depends on the barrel and who does the chambering job. Some barrels take more rounds to break it in, but then again tuning it takes some rounds too so it's hard to tell if it's just not in perfect tune yet or the barrel/chamber is not yet broken in.
I put a new one on a few weeks back, and after fiddling with the tuner for about ten minutes proceeded to shoot a 249-17X, 250-18-X, 250-16X, 250-15X, 249-21X, IR5050targets with it. That was outdoors at 50 yards with a little breeze and using several different lots of Eley match and Tenex ammo, and all the shooting wasn't done on the same day. Is it broken in? I have my doubts on it still being in tune, but it seems to shoot pretty well right from the start.