I always clean them up with a cross hatch finish using a revolver chamber polishing tool available from Brownells, I believe it is for a .45 , it looks like a tiny brake cylinder hone, imagine a bore brush with tiny abrasive balls on the ends . I turn the lathe RPM up to 2,000 using plenty of cutting oil run the hone in and out lightly bumping the shoulder of the chamber using that for a stop, if you bump the shoulder to hard with the tool it will start to remove metal ( bad thing ) I practiced by bore scoping some old chambers until I got the procedure down. Oh yeah this only for cross hatching the chamber it will not remove grooves or other defects as it follows the existing chamber surface.
I use this procedure on my Long Range Bench Rest rifles that shoot pretty well, some F- Class rifles that set some records a few years ago and all other rifles build.