Green’s Dictionary of Slang

1. a dice-cloth, onto which one tosses the dice.

1753		J. Poulter Discoveries (1774) 42: A Tattogey; a Dice cloth.
1786		Whole Art of Thieving [as cit. 1753].

2. one who cheats by using loaded dice.

1753		J. Poulter Discoveries (1774) 41: Tattogeys. They are People that keep a Money Cloth to lay with Dice; the Chance is very unfair; for some are loaded high and some low [...] and the Dice being thus loaded, always run blank.
1786		Whole Art of Thieving [as cit. 1753].