sprinkle has 14 distinct synonyms spread across 6 of its 6 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.
rain gently
“It has only sprinkled, but the roads are slick”
a light shower that falls in some locations and not others nearby
the act of sprinkling or splashing water
“baptized with a sprinkling of holy water”
Synonyms, antonyms and the broader and narrower relations for sprinkle come from Princeton University’s WordNet. Full sources and licences.