Mine does that too. It's partially the ammo and partially the tightness in the chambers that aids in a more accurate shooting gun. So I would not polish them out with anything abrasive.
The guys with S&W K22's, 17's and 617's have the same issue.
Instead do what a few of us do and bring along a .22cal bore brush on a short extension rod. When the chambers become sticky pull the base pin and slip out the cylinder and give each chamber a couple or three passes with the bore brush. If this takes you more than a minute and a half to shuck it out, brush it and have it back in and ready for reloading just practice a little.
With the dry brushed chambers you'll be good to go with another 100 or so. And every such dry brushing will keep you going for around 100 more each time.
And finding which ammo fits better also helps. There's some seriously out of spec *insert bad name here* stuff out there right now. If you really must shoot the stuff that sticks easier because you can't get anything else the only recourse is to clean more frequently and bring along that dry brush and extension rod.