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Wiktionary
set one's teeth on edge

vb. 1 To irritate or strike as unpleasant. 2 To cause a disagreeable tingling sensation in one's teeth, as when acids are brought into contact with them.

Usage examples of "set one's teeth on edge".

No sound, but a rasping shrillness that skidded on one's nerves, a something in the air that set one's teeth on edge.

The tone of the Assistant Commissioner's remarks had been sour enough to set one's teeth on edge.