Persistently annoying someone is a behavior that involves continuously bothering or irritating them. This can be done in various ways, such as hassling, nagging, and pestering. The term 'persistently annoy' can be broken down into three crossword solutions: HASSLE (6 letters), NAG (3 letters), and PESTER (6 letters). HASSLE is defined as to bother or trouble someone, while NAG means to continually find fault with someone or something. PESTER, on the other hand, is to bother someone with frequent or persistent requests or interruptions.