The Rolling Stones's song "Not Fade Away" is about the enduring power of love. The singer is confident and bold, declaring that their love will not fade away. They express their intention to give their love fully and passionately, and they expect the same in return. The lyrics compare the love the singer feels to a Cadillac, symbolizing something big and impressive. The singer is frustrated by the other person's hesitance or indifference, but they believe that true love is real and will not fade away. Overall, the song conveys a sense of determination and assurance in the face of obstacles in a relationship. It speaks to the universal experience of fighting for love and believing in its ability to endure.