Eating (and swallowing) wood

So I have not been able to find anyone else experiencing this but, my chinchilla seems to actually chew and swallow everything she bites.

She has always been strange in terms of behaviour and I have tried to get her out of the habit. She stopped chewing her rock and various wooden objects for a while so I started encouraging her again because her teeth were overgrowing.

Does anyone have any advice on how to train this out. It does not seem to mess with her digestion so far but it definitely does not sound good.