|Easton's Bible Dictionary|
From the verb shagah, "to reel about through drink," occurs in the title of Psalm 7. The plural form, shigionoth, is found in Habakkuk 3:1. The word denotes a lyrical poem composed under strong mental emotion; a song of impassioned imagination accompanied with suitable music; a dithyrambic ode.
Int. Standard Bible Encyclopedia
shi-ga'-yon, shi-gi'-on (shiggayon): Occurs in the title of Psalm 7, and, in the plural, in the verse introducing Habakkuk's prayer (Habakkuk 3:1). Derived from a verb meaning "to wander," it is generally taken to mean a dithyramb, or rhapsody. This is not supported by the Greek VSS, but they are evidently quite at a loss.
See PSALMS, BOOK OF.
Shiggaion (2 Occurrences)
Psalms 6:10 All mine enemies shall be put to shame and sore troubled: They shall turn back, they shall be put to shame suddenly. Psalm 7 Shiggaion of David, which he sang unto Jehova, concerning the words of Cush a Benjamite. (ASV)
Psalms 7:1 O Jehovah my God, in thee do I take refuge: Save me from all them that pursue me, and deliver me, (See JPS BBE DBY WBS RSV NIV)