That will usually do it. How much coverage does the lapping have? Around 80% should do it. Make sure you thoroughly clean the rings of any lapping compound. Just one left over grain will ruin your day!
What material are your rings made of? Most likely steel. Now you have to find a way to prevent rust. Last set of rings I lapped were Leupold rings. This was a hunting rifle and some moisture got to the rings. They rusted and the rust stained the finish on the scope. You wouldn't know this was happening unless you took the scope out of the rings. I was able to clean it all up but this is why I don't lap rings anymore. NEAR rail and ATRS rings combo requires no lapping, this is now what I use.
If I were to have a setup that required lapping again, I'd make sure I would be using stainless or aluminium rings.