The crossword solution for the term 'BIG NAME IN SLUGGING' is SOSA, which stands for Sammy Sosa, a former Major League Baseball right fielder. Sosa played for four teams during his 18-year career, most notably the Chicago Cubs, and was one of the most prolific home run hitters in the history of the game. He was a six-time All-Star, won the National League MVP award in 1998, and was inducted into the Baseball Hall of Fame in 2020.