Wooden chew toys for hamsters, do they cause splinters??

I’ve had my dwarf hamsters for about a year now, and they’re FINALLY starting to use the wooden chew toys I bought them when I first got them. They’re vigorously chewing the toys down, and there are now wood shaving everywhere. I try to clean it up as much as I can, but has anyone had any experience where their hamster got splinters from wooden chew toys??

Just being a bit paranoid as usual!