The name Gihon in the Bible
There are two Gihons mentioned in the Bible. The first Gihon is Eden's river number two (the others are Pishon, Haddakel and Parat). Of this river it is said that it flows around the whole land of Cush (Genesis 2:13).
The second Gihon mentioned in the Bible is a place near Jerusalem where Solomon is anointed king (1 Kings 34). Apparently this Gihon is some kind of waterway, as king Hezekiah reroutes its course (2 Chronicles 32:30).
Etymology of the name Gihon
The name Gihon is derived from the verb גיח (giah) meaning to burst forth:
HAW Theological Wordbook of the Old Testament calls the river the Gusher, or Bubbler, although 'Bubbler' seems a bit too tame. Jones' Dictionary of Old Testament Proper Names reads Great Breaking Forth (Of Waters), but that seems a bit over the top. NOBSE Study Bible Name List reads Bursting Forth.