"What exactly does that mean?"
"How should I know, I just made it up."
The role of Assistant Manager of Policy and Clientele was created on the spot by Quark for Rom in 2369, after Rom impressed Quark during dealings with Grand Nagus Zek. (DS9: "The Nagus") Previous to this promotion, Rom was merely described as Quark's "assistant". (DS9: "Babel")
Rom held the position until 2372, when he instigated the formation of the Guild of Restaurant and Casino Employees for Quark's staff, which had become disgruntled with the disgraceful terms of their employment at the bar. The Guild staged a strike and was eventually able to force Quark to introduce better terms, but following the successful completion of the strike Rom left the bar, and his role of Assistant Manager, to take an occupation as Diagnostic and Repair Technician, Junior Grade. (DS9: "Bar Association")
Rom returned to the position at the end of 2373 for a period of several months as a cover while he was a member of the resistance movement against the Dominion rule of Deep Space 9. (DS9: "Call to Arms" through "Sacrifice of Angels")