WW2 RE Swagger stick

Got this off a car boot, any ideas if it is period, it’s 27" long and the ‘cane’ (not sure what it’s made from) is unpolished but quite light-ish.
The Royal Engineers badge is made of brass as is the shell case which has 1942 RG Oez on it …German?
The lady I bought it off said her father was a Sergeant in the Royal Engineers and he was in North Africa, does this sound feasable?

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