I believe the correct nomenclature is "I am going wingadingalinging". Which can be shortened to "dingalinging" or just "dinging", if among friends.

I say winging or wingsurfing, since my focus is waves. Wingfoiling is more specific, though some people use wings on skateboards, snowboards, sups, etc.
When talking to non-players, I tend to just say "windsurfing", saves some pointless questions.