What does DOM mean?

DOM, as in DOMination, would be my guess. He might have meant something else, but I doubt it.

I don't claim to know all the lingo, nor many of the abbreviations, but in the context stated - asking the stripper for DOM and she walked away - maybe the writer just meant "go Down On Me." Hey, it's Friday night - what am I doing on the stupid computer? There are strippers out there just waiting for my money! Maybe I'll research this question.