From what I've been able to find regarding cadmium plating (excellent corrosion resistance), you should wash your hands after handling the bar. Also avoid touching your face during use.
This would be particularly wise if the bar has any discoloration or corrosion which could indicate the cadmium could transfer to your hands.
You could also wear gloves.
Most likely the cadmium content used in the plating of the bar is very small.
Funk, I can only surmise your continuing use of this bar will cause an early death before you reach 40 years old.
https://www.britannica.com/science/cadmiumCadmium combines with many heavy metals to yield alloys; the most important are bearing alloys and low-melting alloys used for brazing. The small quantities of cadmium added to the heavy metals strengthen them. One percent added to copper increases its strength and hardness with only a small reduction in electrical conductivity. Alloyed with zinc, cadmium forms solders with good shear strength. Because it efficiently absorbs thermal neutrons, it is used in control rods for some nuclear reactors.