The phrase "sets on edge" is typically used to describe a feeling of intense irritation or annoyance. There are many synonyms that can be used to convey the same sentiment, including "grates on," "gets under," "irks," "ruffles," "exasperates," "provokes," and "aggravates." Other words that can be used include "bothers," "infuriates," "outrages," "maddens," and "chafes." All of these words describe a feeling of being greatly annoyed or frustrated, and can be used to convey a strong sense of irritation or discomfort. When looking for the right synonym to use, it is important to consider the context of the situation and the tone that you are trying to convey.