tableman

from The Century Dictionary.

• noun A workman in a rolling-mill who has charge of the operation of the feeding-table by which the piece is delivered or fed to the rolls; or, one who works in connection with such a table.
• noun One of the men or pieces used in such games as draughts, chess, or backgammon.
• noun A player at one of these games; a dicer; a gamester: in the quotation said to mean ‘gaily appareled servants waiting at table.’

from the GNU version of the Collaborative International Dictionary of English.

• noun rare A man at draughts; a piece used in playing games at tables. See table, n., 10.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

• noun rare Any of the pieces used to play the game of tables, backgammon or draughts
• noun rare A person sitting at the same table