Possible Clues:

• Site of a mathematical knight’s tour problem
• Where knights share rank with inhabitants of palaces and castles
• Can only squares be directors here?
• Nazi boy almost captured by queen perhaps, where she's most powerful
• Where mates stop play
• It has sixty four squares
• The chequered background of a scholar's mate?
• Where to find a perfect mate?
• Bossed char (anag.)
• Here one may be resigned to a zero-one defeat