I might actually stop having songs I like as ring tones, because it's not people call me enough for me to get sick of the songs, but I tend to use my cell phone as an alarm and quck possibly being rudely awakened by a beloved song can cool your love for it a bit. Annoying noises are already annoying, so I guess I might as well wake up to them.
However, on my last phone, my three ring tones were "Sing Sing Sing (With a Swing)" by the Benny Goodman Orchestra, "Straight to Hell" by the Clash, and "Starting Wearing Purple" by Gogol Bordello. I did like answering the phone to the first two, the third was kind of a bad version of the song.