While Moby continues to argue with Natalie Portman over whether the fact that they kissed and he creeped on her for a few weeks when she was 18 and he was 34 counts as "dating" he also dropped another big name that he "dated"
According to Moby he went on a date with Lana del Rey in 2006 when she would have been either 20 or 21 and he would have been 40 or 41
They initially met at a bar where he tried to take her home to have sex with her and she declined but agreed to go on a date with him
After their date he took her back to his apartment where she told him he was the type of rich man who would be the first one guillotened during a revolution which he thought was a compliment (Op note: LOL)
He tried to put the moves on her but she was not impressed "I sat next to her on the piano bench and started kissing her. She kissed me back – but then stopped. ‘What’s wrong?’ I asked. “‘I like you. But I hear you do this with a lot of people.’ I wanted to lie, to tell her that I didn’t, that I was chaste, sane, and ethical. But I said nothing"
She went home after that and according to him they agreed to go on a second date (OP hasn't read the book so no idea if this was the extent of their dating or what)
Moby says they later worked together professionally a year later in 2007 when she was briefly a backup singer for his band The Little Death but she quit to do her own material