The phrase "annoy continually" can be replaced by several synonyms that express a similar meaning. These synonyms include words such as "irritate persistently," "bother incessantly," "harass constantly," "nag repeatedly," and "pester relentlessly." These descriptive words can convey the feeling of being annoyed over a long period of time, often to the point of frustration or anger. When someone is bothering us persistently, it is important to communicate our boundaries clearly and assertively. By using synonyms for "annoy continually" in our everyday language, we can better understand and articulate our feelings in a variety of situations.