WordNet records no synonym and no antonym for horripilate. It is the only member of each of its synsets, which is common for technical, taxonomic and single-sense vocabulary — there is no other English word that means the same thing. The broader and narrower terms below are the useful relations in that case.
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.
have one's hair stand on end and get goosebumps
“I horripilate when I see violence on television”
cause (someone's) hair to stand on end and to have goosebumps
“Hitchcock movies horripilate me”
Synonyms, antonyms and the broader and narrower relations for horripilate come from Princeton University’s WordNet. Full sources and licences.