Metaphorical representation of the abrupt quitting of one's job. When you quit, you slam your cock on your boss's mahogany desk, tell him/her you're done, then abruptly leave. Sometimes referred to as Dick on Desk.
Ronald from accounting went into the CFO's office and did a Cock on mahogany earlier this morning! He has been mistreated by management for years.
by de la May 16, 2021