Unfortunately for me, Latex hasn't gained traction in our department. I think the main barriers to entry, for our lab at least, are:
1) Local installation is more difficult than installing Word. Sharelatex and other cloud-latex solutions solve this.
2) Word's comment and review tracking system is more intuitive. If you're reading a document electronically and want to insert a comment or make an edit in word, you just do it right there. With latex, you can use synclatex to go back and forth but this extra step is actually a non-insignificant barrier. Also, with latex, is there a way to make and see comments in the pdf/preview but have the comment also live somewhere in the source, AND have the comments be editable in both places? I suspect the answer is yes, but I just haven't found the right tool?
I haven't unlocked the "history" feature in sharelatex but does it come close to this?