Used in reference to chat rooms. A texthibitionist is a chat user who carries on another conversation with someone else in a public chat forum, when the conversation is better suited to be carried out in private. Generally done to draw the attention of a wider audience.
angsty-x: Yeah, so then Ken dumped me! Can you believe it?
iheartdrama: OMG no way! ): What a loser!
ansty-x: He told me he loved me just two days ago too!!
iheartdrama: Did he take back the necklace he gave you?
GoAway: Take it to a private message, you texthibitionists.