The term 'KEEP BOTHERING' can be summarized by two crossword solutions: 'PESTER' (6 letters) and 'NAGAT' (5 letters). Pestering is the act of persistently annoying someone, while nagging is the act of constantly scolding or reminding someone to do something. Both terms are used to describe the same behavior, but with different connotations. Pestering is seen as more playful and lighthearted, while nagging is seen as more serious and aggressive.