1. demanding attention or action in a forceful or persistent way
2. continuing firmly or obstinately in an opinion or course of action despite difficulty or opposition

Examples

• The teacher was insistent that all homework be turned in on time.
• Despite our protests, she remained insistent about leaving early.
• The insistent ringing of the alarm clock finally woke him up.
• His mother was insistent that he call her every day.
• The reporter asked insistent questions about the scandal.
• She gave an insistent knock on the door until someone answered.
• The child was insistent on having ice cream for breakfast.