Like frog5215, I clean my .22 barrels only when the performance dorps off a lot, and find that they typically run better after putting a hundred rounds or so through it after cleaning. A dry bore snake is a good way to go.
Got about 2k through mine and have not touched the bore. With rimfires that I am not looking for the utmost accuracy out of I don't normally touch the bore unless I am bored. When I do get around to it I will just run a lightly oiled snake through it.
I only clean the chamber on mine, I bend a .22 mop at 90* clean then shoot. Like others have said it will take many thousands of rounds before you need to clean the bore (Anschutz says after every 10K). I would clean everything else mechanical but would leave the bore alone.FWIW