I suffered from dermatitis, according to my GP a cummalitive thing after many years of being exposed to oily things. I tried barrier creams, didn't work so now use talc free latex gloves. I wear them for all oily work and that includes machine tool operation.
Being concerned about the safety of this I consulted the HS guy at where I worked. He said it was fine and several of the craftsmen in the workshop there did the same, but first they need assurance it was safe to do so.
While I agree that wearing the wrong type of glove when, say, turning is dangerous, as rings, ties and long hair are, the appropriate PPE is fine.
The bonus to using latex gloves is that my hands don't have that tell tale ground in dirt look about them. Also, I no longer need to use aggressive hand cleaners, these can cause skin problems that may have been the cause of my problems with dermatitis.
John