“There’s no quit in him”

‘There’s no quit in him” (also said with “her”) means that an athlete is relentless and doesn’t stop competing, despite the great odds. An injured athlete who still competes is said to have “no quit.” ‘There’s no quit in him” has been used frequently in boxing, but has been applied to all sports and other situations as well.
 
“There is no quit in him” has been cited in print since at least 1898.
 
 
8 August 1898, The Republic (St. Louis, MO), “Riders gone and going to the big national meet,” pg. 5, col. 6:
The speed is in him, he has a clever head to think and act, and once tied up there is no quit in him.
(Cycling.—ed.)
 
26 July 1900, Philadelphia (PA) Inquirer,  “Fitz has little show of his own,” pg. 6, col. 4:
“Bob can take a good punch, and at the same time give a good one in return. There is no quit in him. He is always ready for work.”
 
26 March 1909, Denver (CO) Post, “Ketchel and O’Brien in fine shape for fast go,” pg. 16, col. 1:
There is no quit in him and he is everlastingly boring in, ever ready with either hand, and a more wonderful pair of slugging arms have never been seen here before.
 
18 December 1910, Cleveland (OH) Plain Dealer, “Jack White administers some wallops to Tommy Kilbrane” by J. P. Garvey, pg. 4C, col. 2:
He was beaten but nobody could say he had any quit. There was no quit in him.
 
Chronicling America
19 October 1915, The Evening World (New York, NY), “R. Edgren’s column,” pg. 14, col. 1:
Moran is a good, game fellow. There’s no quit in him.
 
Chronicling America
10 June 1921, The Evening World (New York, NY), “Dempsey doesn’t mind being hit, while rival avoids all punishment” by Robert Edgren, pg. 26, col. 1:
“Carpentier lost that fight through an accident. He wasn’t stopped, and he didn’t want to stop. There’s no quit in him.”
 
Google Books
The Dark Command:
A Kansas Iliad
By W. R. Burnett
New York, NY:A.A. Knopf
1938
Pg. 175:
There wasn’t no quit in him.
 
Google Books
Single Action
By Nelson C. Nye
New York, NY: Dorchester Pub. Co.
1967
Pg. 93:
One thing you can say about a Ranger, boy— there ain’t no quit in him.
 
Twitter
DY
‏@DYThaDon
Seahawks better wake up… Drew Brees ain’t got no quit in him.
5:49 PM - 11 Jan 14
 
Twitter
In The Zone
‏@U_R_InTheZone
This Andrew Luck has no quit in him yo! First to Hilton for 46 yards and then to Brazill for another TD for 35… http://fb.me/PMzE0c33
9:24 PM - 11 Jan 14