gutter has 3 distinct synonyms spread across 2 of its 8 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 worker who guts things (fish or buildings or cars etc.)
burn unsteadily, feebly, or low; flicker
“The cooling lava continued to gutter toward lower ground”
flow in small streams
“Tears guttered down her face”
wear or cut gutters into
“The heavy rain guttered the soil”
provide with gutters
“gutter the buildings”
Synonyms, antonyms and the broader and narrower relations for gutter come from Princeton University’s WordNet. Full sources and licences.