“A criminal’s best asset is his lie-ability” is a jocular one-liner that has been printed on images. The “liability” pun was posted on the website Pun of the Day in April 2000.
     
 
Pun of the Day
Great One Liners of the Month
Current Positions for April 2000
1. A criminal’s best asset is his lie ability.
 
Google Groups: rec.humor.jewish
Puns of the Weak: 4-21-00
Stan Kegel
4/22/00
(...)
A criminal’s best asset is his lie ability. (Pun of the Day)
       
30 June 2000, The Tribune (Seymour, OH), “Crptoquip” (puzzle), pg. 4B, col. 7:
Yesterday’s Cryptoquip: I’M CERTAIN THAT MANY A CRIMINAL’S BEST ASSET IS HIS LIE-ABILITY.
 
Google Groups: alt.humor.puns
Puns of the Weak Special: 100 Top One-Liners
Stan Kegel
5/25/03
The 100 best one-liners as chosen by the readers of Mike Bull’s “Pun of the Day”

100. A criminal’s best asset is his lie ability.
 
29 December 2004, Cincinnati (OH) Post, “Snowed out? Take a laugh break” by Jan Perry, pg, B5:
And speaking of groaners and moaners, this site called Pun of the Day” will give you a daily dose of both with lines like: “I wondered why the baseball was getting bigger. Then it hit me” and “A criminal’s best asset is his lie ability.”
 
Google Books
Objection!: Have You Got What It Takes to Be a Lawyer?
By Lisa Thompson
Minneapolis, MN: Compass Point Books
2010
Pg. 39:
A criminal’s best asset is his lie-ability.
 
Google Books
5,000 Great One Liners
Compiled by Grant Tucker
London:  Biteback Publishing
2012
Pg. ?:
A criminal’s best asset is his lie ability.