The inability to relieve your bladder in a public place such as a grocery store, restaurant,etc. While this isn't typically looked at as a medical condition, it is a form of anxiety due to the possibility of someone looking at your junk. Typically this is a problem for men using urnials while someone else is in the bathroom as well.
Bob: Hey Mike, did you stop at the bathroom at the bar?
Mike: No, there was a guy going at one of the urinials, and I have public piss syndrome.