To civil-service. Verb form of "civil service", used by co-workers at an unnamed government agency. It is means to affably but vaguely agree to aggressive demands for work by those outside your chain of command, and then go back to whatever you were (or were not) doing, secure in the knowledge that there will be no consequences. What anyone would do without fear of the lash.
That consultant babe from the Commissioner's office came by asking for a detailed report on our project status, so I civil-serviced her and then went to the retirement party on the fifth floor.