Originally Posted by
songfta
And yes, chainrings can and do wear out: the tooth profiles often won't mesh with a new chain if the rings are too far gone (i.e. were trashed by a worn-out chain).
True but the OP said his bike is still shifting well and the chain isn't skiping. He was concerned the worn rings would damage the new chain and that won't happen. If it ain't broke, don't replace it.