What is meant by the punishment for Satan in Genesis 3? And the LORD God said unto the serpent, Because thou hast done this,
  thou art cursed above all cattle, and above every beast of the field;
  upon thy belly shalt thou go, and dust shalt thou eat all the days of
  thy life: And I will put enmity between thee and the woman, and
  between thy seed and her seed; it shall bruise thy head, and thou
  shalt bruise his heel.  (Genesis 3:14-15 KJV)


Is that punishment (upon thy belly shalt thou go) directed to the animal - "the serpent" - only, or does it have some symbolic meaning?
I think is important to look at this as a whole, not just "upon thy belly shall thou go". This is symbolic, as a lot is in the Holy Writ. We have the advantage over the devil, and if we desire, we can resist him, and he will flee from us.  He has no more power then we give him.

This is personal interpretation: If something/one is crawling, and I am walking, I immediately have a vantage point and power over that individual.  Satan was not given a body because of his rebellion, so he cannot literally crawl upon his belly.