There are many symbols in "A Worn Path." The first is that of the title, the path itself. It is a physical path, but it is also Phoenix's path through life, which she has been walking a long time.
Second comes her name. It is phoenix, the mythical bird that was burned up and reborn. She was a slave and reborn free, and is reborn in different ways throughout this story.
Third—and we're still early in the story—is her walk. She walks "moving a little from side to side in her steps, with the balanced heaviness and lightness of a pendulum in a grand-father clock." She is walking out time, back and forth, like a mechanical clock that just keeps going.