Health and Safety was an organisation known in the United Kingdom in the 20th and 21st century.
On 25 November 1974, the Eleventh Doctor pretended to be from Health and Safety when investigating the haunted Caliburn House. (TV: Hide)
In 2009, independently one from the other, Donna Noble and the Tenth Doctor pretended to be sent from Health and Safety to inspect Adipose Industries. The term was used as an analogy by Clare Pope when she gave the Doctor her phone number, "You'll be Health, I'll be Safety." (TV: Partners in Crime)
In the early 21st century, Clara Oswald tried, in vain, to pass off as a Health and Safety agent with the psychic paper to evacuate a gallery infested by the Boneless. (TV: Flatline)