The crossword solution for the term 'Giggling Muppet' is Elmo. Elmo is a beloved character from the long-running children's television show Sesame Street. He is a red, furry monster who loves to laugh and giggle. He is known for his catchphrase 'Oh, yeah!' and his signature song 'Elmo's World'. Elmo has been a part of Sesame Street since the 1980s and is one of the most recognizable characters from the show.