puff has 23 distinct synonyms spread across 13 of its 17 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.
a light inflated pastry or puff shell
exaggerated praise (as for promotional purposes)
a soft spherical object made from fluffy fibers; for applying powder to the skin
a slow inhalation (as of tobacco smoke)
“he took a puff on his pipe”
forceful exhalation through the nose or mouth
“he gave his nose a loud blow”
Synonyms, antonyms and the broader and narrower relations for puff come from Princeton University’s WordNet. Full sources and licences.