A person with a large bulbous stomach due to a lifetime of drinking beer
That hop belly geezer at the bar won't stop talking about the price of beer these days
(1) The ability to attract the attention of a busy bar tender in a crowded bar.
(2) The ability to forcibly and persuasively make your point.
Mary has awesome bar presence. She can walk into a crowded bar on a Friday afternoon and get her drinks order in a couple of minutes. Fred, on the other hand will stand a t the bar all night and be invisible to the bar tender. He has no bar presence.