Green’s Dictionary of Slang

tat n.2

[tats n. (1)]

(Aus./US) any confidence trick; usu. performed with dice; also attrib.

[Aus]Truth (Perth) 1 Oct. 4/7: Should you flout his ‘joey-rail’ / (That’s Australian for a tale) - / He will say you’re ‘not the nail / For a tat’.
[US]J. O’Connor Broadway Racketeers 222: The Tat mob generally consists of two operators, a man and a woman who work together.
[US]A.J. Pollock Und. Speaks n.p.: The tat, confidence game worked by men and attractive woman, usually in a restaurant by attracting attention of and meeting victim whom they plan to fleece or rob.
[US]D. Maurer Big Con 309: The tat. A crooked dice swindle worked by grifters in night clubs. The mark is allowed to find a die (sometimes made from a sugar cube) and is inveigled into a betting game.That tat is substituted for the square die when the operator throws and the mark is fleeced. Also up and down Broadway.

In phrases

ring a tat into (v.)

(Aus.) to fool, to play a confidence trick on.

[Aus]Bulletin (Sydney) 7 Apr. 14/4: A hunk of bush phraseology:– ‘Yes, ole Brown was a reg’lar ole coot, a right down pukacker. Yer could ring a tatt into him anytime. He rolled ’is marble in last year – too much nose-paint, yer know.’ Which all meant merely that Brown was shiftless and credulous and had died through excessive drinking.