1836, from jig (v.) "move up and down or to and fro" (c. 1600, from jig (v.) but perhaps influenced by jog) + -le, which here could be either diminutive or frequentative. Related: Jiggled; jiggling. As a noun, from 1840.
Don't jiggle your finger while the nurse is putting on the bandage!
jiff
jiffy
jig
jigaboo
jigger
jiggle
jigsaw
jihad
Jill
jillion
jilt