Simular to flirt-texting, but being taken to the level of one or both of the texters physically smiling (or cheesing) while texting.
Girl 1: "Who the fuck are you Cheese Texting?"
Girl 2: "OH. EM. GEE. I totally didn't even realize I was Cheese Texting!!.. It's this super cute guy named Andy I met at the bar last night. He's such a flirt."