[AmityvilleHams]

You could try to compost the wood shavings or give them to someone else who can compost them, but you should never use unknown wood shavings for small pets in general. It is a massive safety risk and the benefit of reducing waste is not worth the safety and welfare of your hamster.

It's also worth noting that there are definitely brands out there marketed towards horses and small animals which don't declare wood species but contain harmful species. Snowflake brand shavings, for example, include cedar which we should all know by now is absolutely unacceptable for small pet usage as it is extremely harmful to their health.

ETA there are also toys sold for hamsters and other small pets which also end up getting labelled as cedar in one place or another. I believe an example was a Niteangel tunnel toy, but we should also always be certain of wood species in relation to toys and not just substrate. Just because it's sold for a certain pet doesn't mean it's 100% safe!