The term 'Bishop or Rook' refers to two pieces in the game of chess. The Bishop is a long-range piece that moves diagonally across the board, while the Rook is a short-range piece that moves horizontally and vertically. Both pieces are important for controlling the center of the board and can be used to attack the opponent's pieces. The crossword solutions for this term are 'CHESSMAN' (8 letters) and 'MAN' (3 letters). The word 'CHESSMAN' refers to any of the pieces used in the game of chess, while the word 'MAN' is a generic term for a person.