I don't bother & couldn't care less if they're there.
I clean what comes off easily & leave the rest, pretty much like the rest of the gun (excepting the chambers & bore, where I do put in more effort).
All of my revolvers have those rings.
They cause no damage, I don't care about a factory-clean & shiny cylinder face, and they just come right back again the next time the gun's fired.
Denis