1) Annoyer 2) Annoying sort 3) Goat getter 4) Irritant 5) One getting under your skin 6) Persona non grata 7) Someone given to teasing 8) Tease 9) Teaser 10) Teasing type 11) Unwelcome person Found on https://www.crosswordclues.com/clue/vexer
vexer 1. Someone who teases by mocking or arousing another person's curiosity and not satisfying the condition. 2. The act of harassing someone playfully or maliciously; especially, by ridicule; and so provoking someone with persistent annoyances. Found on http://www.wordinfo.info/words/index/info/view_unit/2293/