Kinda, the damage never happened to Chauvet because the preservators learned from Lascaux and Altamira: they did not open Chauvet to the public at all.
They did eventually open a huge replica cave which you can visit, the Caverne du Pont-d'Arc aka Chauvet 2.
and it's very nice to visit! Not too far also (from an US point of view :D ) is the cave Chauvet. The original is 37m underwater, but a replica opened few month ago in nearby marseille
They did eventually open a huge replica cave which you can visit, the Caverne du Pont-d'Arc aka Chauvet 2.