E. Cobham Brewer 18101897. Dictionary of Phrase and Fable. 1898.
from gigue. A short piece of music much in vogue in olden times, of a very lively character, either six-eight or twelve-eight time, and used for dance-tunes. It consists of two parts, each of eight bars. Also a comic song.
You jig, you amble, and you lisp.Shakespeare: Hamlet, iii. 1.