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1.
to be ignored or neglected while trying to communicate via electronic message.
person 1 says: "I texted everyone about the party, but everyone is neglexting me, and I havent heard anything back"

or

annie "hey John, have you been neglexting my messages?"
John "Listen, I have been playing Wii, dont bug me!"
by steve F January 02, 2008
 
2.
The act of not texting back when in the midst of a text exchange. Can be intentional or inadvertent.
I am so sorry I neglexted you...I got so busy at work and then went out with my co-worker right after.
by javarocks December 07, 2013