Green’s Dictionary of Slang

thin adj.1

(Aus./US) cheeky.

[US]St Louis Globe-Democrat 19 Jan. n.p.: Others of the crowd think the bar-keeper is a ‘funny boy,’ and that his remarks are ‘too thin,’ ‘too gauzy,’ and ‘won’t wash’.
[Aus]Sport (Adelaide) 3 Aug. 14/4: They Say [...] That Dada got a bit thin after his awful apology for singing.