Did you check the tappet clearances? Excessive tappet clearance can cause quite a bit of noise. It is useful to find the source of odd noises, even if you don't fix them - some of them are signs of impending doom, while others just indicate the engine needs maintenance.
Heavy smoking immediately after replacing rings in an engine that was smoking heavily due to ring wear, is normal. The exhaust port and muffler will be full of oily crud, but this will burn out in normal service within an hour. It is a bit unsightly and embarrassing, but burning it out that way is usually the quickest, cheapest and least-damaging way to clean out the port and muffler.
Aside from the question of odd noises, your engine should now run pretty much like a good one for one third to one half of the hours it had run up until you overhauled it. By the time it wears out this set of rings and smokes again, the bore and valve guides will be in hopeless condition and you (or the next owner) will have to choose between a larger overhaul, and scrapping the engine.
