A conversation carried over text... Usually more wordy than something along the lines if the universally hated 'k'.
Dude: hey babe what's up?
Chick: not much...
Dude: great convo
Chick: excuse me, we aren't face to face. This is a textersation
Having a full conversation through text messaging
I was at work having a textersation with Jane because I didn't want to talk on the phone.