Little to no chance of something. Of uncertain origin, it is either a reference to "Buckley's and none" (a pun on the name of the former department store Buckley & Nunn), or to the escapades of the escaped colonial convict William Buckley. Primarily heard in Australia. I'd say you have Buckley's hope of getting that loan approved.
See also: hope
Farlex Dictionary of Idioms. © 2015 Farlex, Inc, all rights reserved.