A "dick bowl" is private or public place of gathering that consists primarily of dicks - as is "that guy is fucking a dick!".
"Last night for my birthday we went to this shit club, Tia Lou's. The bouncers were shriveled-ball-power-tripping-roid ragers and the patrons handsy-clubbed-out-cock-mcfuglies -- a total dick bowl."
When you are taking a shit and your dick touches the cold porcelain at the front of the toilet, causing discomfort and in the case of public toilets, absolute disgust.