The personal protective equipment (PPE) regulations (29 CFR 1910.132-.138) require PPE “for eyes, face, head, and extremities ... shall be provided, used, and maintained in a sanitary and reliable condition wherever it is necessary by reason of hazards of process or environment, chemical hazards, radiological hazards, or mechanical irritants encountered in a manner capable of causing injury or impairment in the function of any part of the body through absorption, inhalation or physical contact.”
Unless the use of gloves create a greater hazard to the operator, it is not a violation to use them while operating rotating equipment. Management is responsible for evaluating each situation to ensure that such work practices do not increase the hazard for employees.