Green’s Dictionary of Slang

arky adj.

[SE Noah’s Ark, back to which the things in question may supposedly date, although there may also be a link to archaic]

(US) old-fashioned, out-of-date.

[US]B.W. Green Virginia Folk-Speech (1912) n.p.: Arky [...] archaic. ‘Came out of the ark.’ ‘She had on a very arky bonnet.’ [DARE].
[US]Berrey & Van den Bark Amer. Thes. Sl.