Green’s Dictionary of Slang

toss n.³

an act of dismissal.

1904

Ade ‘The Fable of [...] the Fearless Favorite from St. Louis’ in True Bills 66: He knew that he was taking a Chance, but an ordinary Toss had no Terrors for one accustomed to grappling with the Country Trade.

In phrases

give someone the toss (v.)

to dismiss, usu. from a job.

1902

Ade Breaking Into Society (1904) 152: He will wait until you begin to act real Friendly and then he will give you the Toss.

SE in slang uses

In phrases