Housekeeping was a department within Section One charged with disposing of bodies and cleaning after activities within Section One's premises.
At locations outside Section One's premises, they were also often called upon to eliminate evidence of Section activities, and protect Section from public exposure. For example, if a Section operative performed duties in a public place, (which may or may not have included killing enemy operatives), Housekeeping would alter or remove forensic evidence and/or kill witnesses as necessary to eliminate exposure risk. They could tamper with a Red Cell operative's body to make her death look like a common robbery.
Exposure is a critical risk to Section, as it can trigger multinational political scandals which could cut off the huge and highly secret lines of financial and military support which Section needs continuously from multiple governments to sustain its very existence.