“Got away” shouldn’t be confused with “got a weigh,” but there are jokes.
   
“Bill jumped on a scale and got a weigh” was printed in the Los Angeles (CA) Daily Times on October 23, 1899. “Nancy—I just saw two cops chase a holdup man through a drugstore? Sluggo—Did they catch him? Nancy—No, he stepped on a scale and got a weigh!” was printed in the Ventura County Star-Free Press (Ventura, CA) on November 11, 1942. “Did you hear about the guy that robbed that health spa? He jumped on a scale and got a weigh” was posted on Reddit—Dadjokes on July 1, 2022.
     
   
Newspapers.com
23 October 1899, Los Angeles (CA) Daily Times,  “Old Bill Brown” (New York Telegram), pg. 6, col. 7:
Bill jumped on a scale and got a weigh, ...
 
Newspapers.com
6 January 1904, New-York (NY) Daily Tribune, pg. 8, col. 4:
The Criminal Escaped.—Jack—You’ve hard about the escaping criminal who stepped on a slot machine and got a weigh?
Mack—Yes; that’s old.
Jack—Well, even the bloodhounds couldn’t get his cent.—(Yale Record.
     
Newspapers.com
28 August 1913, The Enquirer (Cincinnati, OH), pg. 4, col. 2:
Wuff!
The sleuths upon his trail were hot,
A street scale saved the day;
He dropped a penny in the slot,
And then he got a weigh.
 
Newspapers.com
11 November 1942, Ventura County Star-Free Press (Ventura, CA), pg. 8, col. 5:
EASY ESCAPE
Nancy—I just saw two cops chase a holdup man through a drugstore?
Sluggo—Did they catch him?
Nancy—No, he stepped on a scale and got a weigh!
 
Newspapers.com
18 May 1956, Valley Evening Monitor (McAllen, TX), “Chip” comic strip, pg. 4, col. 1:
“HE CHASED ME INTO THE DRUGSTORE!”
“DID HE CATCH YOU?”
“NO, I STEPPED ON THE SCALES AND GOT A WEIGH!!”
 
Newspapers.com
9 May 1960, Oakland (CA) Tribune,” Fun Time—The Chuckle Box” by A. Leokum, pg. 15, cols. 1-2:
Larry: I saw a cop chase a crook through a store.
Harry: Did they catch him?
Larry: No, He stepped on a scale and got a weigh.
 
Google Books
August 1962, Boys’ Life, “Think and Grin,” pg. 62, col. 1:
Larry: I saw a cop chase a crook through a store.
Harry: Did he catch him?
Larry: No, he stepped on a scale and got a weigh. — Billy Guernsey, Plainfield, Ind.
 
Google Books
Jokes
By Joseph Rosenbloom
New York, NY: Sterling Publishing Company, Inc.
1996
Pg. 234:
SHERIFF: How could you let the outlaw escape?
DEPUTY: I couldn’t help it, sheriff. He stepped on a scale and got a weigh
     
Twitter
John Rainone
@johnrain11
3 daycare shows today, then dinner with my baby! Cops chased the crook but he stepped on a scale and got a weigh! http://bonkerstheclown.com
8:09 AM · Aug 19, 2009·Twitter Web Client
 
Twitter
Aaron Taylor
@AaronTaylorCFB
Someone stole my bathroom scale and got a weigh with it.
12:15 PM · Jan 17, 2019·Twitter for iPhone
 
Reddit—Jokes
Posted by u/raindancin May 25, 2019
Police were chasing two robbers
...who ran into a pharmacy jumped on to a scale and got a weigh.
     
Twitter
Christopher Linn Young🇺🇦
@phoenoxanapher
You’re too late - the thieves already escaped -
How, you ask?
They just jumped on your scale and got a weigh.
1:51 AM · Aug 24, 2021·Twitter Web App
 
Reddit—Dadjokes 
Posted by u/TheGameMastre July 1, 2022
Did you hear about the guy that robbed that health spa?
He jumped on a scale and got a weigh.
 
Twitter
Jimmy RevJim Olsen
@mybuddyjimmy
Did you hear about the guy that robbed that health spa? He jumped on a scale and got a weigh. #LaughoftheDay
6:17 PM · Jul 3, 2022 from Des Moines, IA·Twitter for iPhone