cowboy has 8 distinct synonyms spread across 2 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.
a hired hand who tends cattle and performs other duties on horseback
a performer who gives exhibitions of riding and roping and bulldogging
someone who is reckless or irresponsible (especially in driving vehicles)
Synonyms, antonyms and the broader and narrower relations for cowboy come from Princeton University’s WordNet. Full sources and licences.