Which noted local event features comedic performances in the Cayman Islands?

The event that features comedic performances in the Cayman Islands is the Rundown. This annual event is renowned for its unique blend of comedy, music, and drama, showcasing local talent and cultural themes. The Rundown is characterized by its humorous skits that often reflect social issues, local traditions, and everyday life in the Cayman Islands, making it a vibrant and entertaining celebration of the islands' culture.

The other events each have their own focus and style. The Calabash Festival emphasizes cultural celebrations and traditional crafts, Heritage Days focuses on preserving and promoting the history and legacy of the Cayman Islands, and Cayman Carnival features a lively display of costumes, music, and dance, but does not primarily center around comedic performances.