Here is a picture of a honed cylinder. The one in his hand is not honed yet.
http://www.snafu.org/restore/service/4800-mile/p-20030209-123053.jpgWas your cylinder bored out for a bigger piston?
If you didn't have your cylinder bored and you are replacing the rings and/or piston you just need to hone enough to break the glazing and stop as soon as you see the cross-hatch pattern appear. Make sure to use plenty of oil for lubrication. Do a couple stokes and wipe a section of the bore clean and see how it looks. It shouldn't take more than a few strokes back and forth through the bore.
Clean the cylinder really well before putting things back together. Any grit left behind does damage really quick in a running engine.
Before you put the rings on the piston check the piston and bore clearance to make sure it is still in tolerance. Also check the ring end gap (make sure the ring is square in the bore). If the end gap is too tight use a fine tooth flat file and carefully file the ends. (they also make a tool just for this purpose). If there are any burs be sure to remove them.