Nuclear density gauges emit low levels of radiation, but because of their relatively continuous close proximity and use by the operator, generally require monitoring by the use of dosimeters, film badges or similar.
That's not to say that the radioactive isotopes contained within the shielding of the gauge are not dangerous. They are. Cesium and Americium are commonly used isotopes, but they are usually also in a "strength" or activity range in picocuries, as compared to the radioactive isotopes used for welding NDT which can be 100 curies.
Bottom line is that anyone using a nuclear density gauge should be trained in basic radiation safety, transportation of radioactive isotopes, and monitoring schemes for radiation exposure. Each person should also be monitored from an outside source with reporting on at least a monthly basis so that radiation exposure levels can be checked and action taken if necessary.