A pomp-hole is short for a person being a pompous asshole. This type of person is of the Gordon Gekko, Patrick Bateman, or Regina George (mean girls) mold. Though all of the aforementioned characters are of upper-class stature, lower class people can also be classified as pomp-holes.
"Hey man, those kids on that MTV show are real pomp-holes!"
"The ones from Laguna Beach?"
"No! Well, yes. Those soon to be yuppies are also pomp-holes, but I was referring to the ones on Jersey Shore