In "The Two Towers" by J.R.R. Tolkien, the quote suggests that personal experience, especially hardships or mistakes, is the most effective teacher. The "burned hand" symbolizes the consequences of one's actions, indicating that lessons learned through suffering resonate more deeply than merely heeding warnings or advice from others.
This idea emphasizes the value of first-hand experience in understanding life’s dangers and complexities. Following a painful experience, one is likely to take caution more seriously, highlighting how firsthand knowledge can lead to wiser decisions and a more profound appreciation for safety and caution.