Good for you to check! When I bought my clips for using a ping pong table, I found I couldn't open a lot of them either.
But I saved a tag from one of the packages (they were in 2-packs). They are by Olympia Tools and the 1" size worked great for the ping pong table and technically would work for the kitchen counters but you do have to open them ALL the way and that gets a bit hard and doesn't give you a lot of leeway for anything more than the back.
Amazon is out of stock on the 2" size. I found mine in Big Lots (we were in the neighborhood and checked).
https://www.amazon.com/Olympia-Tools.../dp/B002PFUJI6