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None of mine have ever shown the remotest interest in wooden chew toys or even apple & hazel sticks, the only wood they've ever chewed has been wood I'd rather they didn't like their houses!
Dandelion roots are often popular though & another good option for chews.

Most hams are fine with the whimzees left in the cage all the time but you do occasionally get a ham that goes a bit nuts over them & eats too much so first time at least it's best to keep an eye on them.