1. an indirect or subtle suggestion, especially of something unpleasant or critical
2. the act of gradually introducing an idea or oneself into a situation

Examples

• His insinuation that she was lying made her very angry.
• I resent your insinuation that I don’t work hard enough.
• The article contained several insinuations about the politician’s honesty.
• She made a subtle insinuation about his motives.
• The spy’s insinuation into the organization took months of careful planning.
• Through careful insinuation, he managed to become part of their inner circle.