Well sort of......
Lots of music has iconic "phrases" in it whether they be lyrical, vocal or instrumental.
Think of Baker Street by Gerry Rafferty...and that sax solo undoubtedly played by Raphael Ravenscroft. In a radio interview in 2011, Ravenscroft said the song annoyed him. "I'm irritated because it's out of tune," he said. "Yeah, it's flat. By enough of a degree that it irritates me at best."
You know what I mean. But who wrote it? Listen to the first bit of this, worth giving it the full play though if you like a bit of bluesy jazz
Got any other examples, not necessarily Sax Solos.
PS ....and a largely irrevelvant aside. Paul Weller was choosing "Tracks of my years" on Radio 2 the other day and chose "Sound and Vision" by David Bowie. A very innovative structure to the song with the vocal first appearing well into the track. But guess who was singing on the track also. None other than the producer Tony Visconti's wife Mary Visconti. nee Hopkin. Those were the days my friend