kick up has 3 distinct synonyms spread across 1 of its 3 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. WordNet records no antonym for it — antonymy is a relation between word forms rather than concepts, so it is deliberately sparse.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
cause to rise by kicking
“kick up dust”
evoke or provoke to appear or occur
“Her behavior provoked a quarrel between the couple”
raising the feet backward with the hands on the ground; a first movement in doing a handstand
Synonyms, antonyms and the broader and narrower relations for kick up come from Princeton University’s WordNet. Full sources and licences.