Cluny is a small commune in France, located in the Saône-et-Loire department in the region of Bourgogne-Franche-Comte. It is most famous for its Benedictine abbey, which was founded in 910 and was once the largest in Europe. The abbey was known for its intricate LACE work, and the abbot of Cluny was the head of the Benedictine order. The answers to the crossword clues are LACE (4 letters) and ABBE (4 letters), which refer to the LACE work and the abbot of Cluny respectively.