Some names seem owned by celebrities, and to name your child a name of that celebrity beckons back to that name whether you intend to or not. For example, you can think you're being creative in naming your baby girl Miley, but everyone will think you're referencing (or stealing) from Miley Cyrus, whether that's your intention or not.
Where some celebrities have gone with a singular name (Madonna, Cher, Bono) there are other celebrities who could easily cut their surname and people would always know who you were talking about.
And I wonder (and I haven't done the research) as to whether they changed their names, and if not how unique it is for these stars to have such distinct one-of-a-kind names.
Here's some examples of celebrities who's first names alone don't even warrant a surname (If you're not sure about the star I'm talking about, freely ask in the comments and I will provide).
Sure I have a last name, but the first will do: