So, Adam saw the return of darkness, the same darkness the opening medrash identified with the spiritual decimation attempted by the Hellenists in the years before Chanukah. He mourned and fasted for 8 days. We have 8 days, but with an opposite theme — mourning and fasting are prohibited, and praise and gratitude dominate. And in both cases, the message was only seen in retrospect, the next year.
There is one major difference: Adam concluded that the darkness and the return of light was just “the natural cycle”. In Chanukah, we initiated the light manually, and Hashem responded with a miracle. Where Adam saw Hashem’s Light in nature, we see Him bestowing it in a covenantal union with us.
Adam was the start of this world. The Jewish People were given the Torah, handed a burning torch, to bring light to the world that follows.