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English word rejig comes from English re-, English jig
re- (English)
A completive or intensification of the base; up, a-, out. Again, anew. Back, backward.
jig (English)
(fishing) A type of lure consisting of a hook molded into a weight, usually with a bright or colorful body.. (mining) An apparatus or machine for jigging ore.. (music) A light, brisk musical movement; a gigue.. (obsolete) A light, humorous piece of writing, especially in rhyme; a farce in verse; a ballad.. (obsolete) A trick; a prank.. (traditional English Morris, _, dancing) A dance [...]
rejig (English)
(transitive) To tweak or rearrange.