The term 'become infatuated with' can be represented by three words in a crossword puzzle: SWEET (5 letters), GAGA (4 letters), and INTO (4 letters). SWEET is an adjective used to describe something that is pleasant or attractive, often referring to food. GAGA is an informal expression of admiration or enthusiasm. INTO is a preposition used to indicate direction or movement towards something. Together, these three words can be used to describe the act of becoming infatuated with someone or something.