Roughly ten years ago, I remember that it was trendy for young pop singers like Justin Bieber and Miley Cyrus to wear t-shirts by groups like Megadeth and Iron Maiden. But these bands obviously had no influence on their music.
Roughly twenty years ago, I remember seeing high school kids wearing Ramones t-shirts. But here again, I think it was just a fashion trend. I don't recall the young people talking about Ramones actual music.