The crossword answer to the clue “Classy establishment?” is SCHOOL. The answer refers to the educational institution that provides formal education and training to students in various subjects and fields. A school is typically considered a place that upholds high standards of knowledge, discipline, and achievement, and it is where students learn academic, social, and life skills. Moreover, the word “classy” in the clue could refer to the prestige, sophistication, and excellence associated with the best schools, which are often characterized by their rigorous curriculum, outstanding faculty, and distinguished alumni. Therefore, the term “classy establishment” is an apt description of a school.