More pics since I'm back and can test quickly.
Meanwhile, can someone tell me how to fix this?
The material for the eye has texture references for ALL of the eye emotions Claydol has and they are flickering together and seem to be controlled by the same polygon.
Change the textures themselves so they're equals, and it will not flicker anymore (if possible, of course)
Also, from the pictures I guess you're having a small problem with all the pokemon. I mean, when Lensho makes stages with pokemon from pokepark, he doesn't fix some weird greyish layer every pokemon from that game has. And changing the textures isn't enough. To make them look better, you would need to change the flag3 value in their materials, if I'm not mistaken. I have to admit that they look cool enough, but I guess that if you were able to get rid of that layer, they would look even better.
Also, it's not just change the flag3, there are graphical problems depending on the modeldatas where the pokemon are placed. Sometimes it's a big challenge to fix the pokemon.
This is an example showing the difference:
Original:
Fixed pokemon:
In the case you're interested on fixing them and you didn't manage to make it, you can always send me the stage when it's finished and I would make a try.