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1.
The act of gathering every person you can think of and texting everyone simultaneously.
"Hey Shelly, get everyone you know and let's have a texting orgy!"

"Alright!"
by rowemister December 21, 2008
 
2.
When multiple people are texting each other to the point it gets confusing as to who said what and when.
We were texting with a bunch of people and lost complete understanding what was going on. Big Dave said looks like we have ourselves a texting orgy.
by LuckyFairlane1 July 22, 2013