The term 'PARTICIPANT IN A SQUARE DANCE' can be summarized as a person who takes part in a traditional American folk dance. The crossword solution for this term is GAL, which is a term used to refer to a woman or girl. Square dancing is a type of folk dance that originated in Europe and was brought to the United States by settlers. It is usually performed in groups of four couples, with each couple forming a square. The dance involves a caller who calls out the steps and movements for the dancers to follow.