From what I remember as a new player, they don't really introduce Limit Breaks to you. I don't think I knew how to use it (because the icon is hidden in the actions menu) until most of the way through ARR.

From my perspective, it was fear that led me to not use LBs. Because you didn't want to get yelled at for using LB at a bad time or wasting it. (I was also a BLM through the story) Now, I don't care because I understand how LB works. But it definitely isn't explained well enough for new people.