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Hamsters don't need regular vet health visits like dogs and cats might so I wouldn't take a hammy to the vet unless they were unwell and needed medical attention or if they needed something like teeth clipping or nails. With teeth I would ask for a short whiff of gas so this could be done easily and the teeth burred shorter. With a proper diet and correctly aligned teeth though this should not be necessary. Hamsters teeth are surpisingly long normally so don't fret if you see them yawn!
I would not do regular vet checks myself.