Green’s Dictionary of Slang

molar adj.

(Aus.) drunk.

[Aus]Sydney Sportsman (Surry Hills, NSW) 27 July 4/3: [H]is mixture had got in its deadly Work, and his guests were inebriated, ‘snickered,’ ‘molar,’ ‘boozed’ or drunk ‘boozed,' or drunk.
[Aus]Bulletin (Sydney) 18 Mar. 26/4: ‘Look, old chap, you're molar; / As you’re well-oiled, step down with care, / Or else you’ll come a roller’.