Rumours spread through international news media in April 2012 that the townspeople were thinking about changing the name of the town, or had actually voted to change it. The satirical website The Spoof! published a story on 18 April saying that the townspeople were fed up and wanted to change the name.[25] This minor satire was expanded upon and appeared on the same day in the Daily Mirror newspaper[26] and elsewhere during the following week as a genuine news item, and was repeated by The Guardian and The Huffington Post, who reported that a vote had taken place to change the name to Fugging, but it was discovered that a village with that name already existed just west of Herzogenburg.[27][28] The irritated mayor of F***ing denied these false stories when contacted.[29]
So, the news story is a lie.
You'd think some enterprising F***inger would set up a souvenir stand to sell F***ing signs and F***ing mugs. I mean, the possibilities are endless.
From the wiki article: One did, but it made his neighbors F***ing mad.
You don’t have to live there to sell the stuff online.