Medical screening and biomedical monitoring violate individual rights. Such conflicts of right with right are acted upon synergistically by uncertainty which, in some important respects, increases rather than decreases as a result of research. Issues of rightness and wrongness, ethical issues, arise because the human beings who are subjects of medical screening and biological monitoring often have little or no option whether to be subjected to them. We identify issues of rightness and wrongness of biomedical surveillance for various purposes of occupational health and safety. We distinguish between social validity and scientific validity. We observe that principles are well established for scientific validity, but not for social validity. We support guidelines as a way forward.