Blake Boldt of Engine 145 gave the song a thumbs-up. His review called the song "oddball" and "interesting," praising Jennifer Nettles's vocal stylings as well as the production.
Kevin John Coyne of Country Universe gave the song an "A" rating, and said "I could write a few paragraphs about why I love this song, but what’s the point...All I have to say about “Stuck Like Glue” is this: Listening to it makes me very happy."
The music video was released on August 6 on VEVO. The video portrays an alternate interpretation of the lyrics. The video opens with the narrator, driving up to the house of her ex-lover (played by Ryan McPartlin), whom she obviously stalks. Her ex-lover ends up calling the police, and she gets arrested, and appears in a mugshot room with other criminals. After being released, she goes to the house of the ex-lover, and kidnaps him by putting a sack over his head and driving him to a warehouse with many pictures & paintings of him there. She drugs him, and proceeds to feed him a cake with his face on it. At the end, she takes his phone and sees an incoming call from "Kim" (actress Brooke Hutton), who is shown to be an attractive young woman on picture caller ID, and the video ends as she punches him for it.
"Stuck Like Glue" debuted at No. 44 on the U.S. BillboardHot Country Songs chart for the week of August 7, 2010. One week later, it debuted on the Billboard Hot 100 at No. 20. It also debuted at No. 53 on the Canadian Hot 100 chart for the week of August 14, 2010. It became the 11th most downloaded country music song of all time by April 2011, and it was the best-selling song by a country duo until it was surpassed by Florida Georgia Line's "Cruise" in April 2013.
The single entered the UK Top 100 at number 74 on February 13, 2011. It debuted at No. 30 on the U.S. BillboardAdult Contemporary chart for the week of March 26, 2011.