Healing Lightning will be Less Traditional and Harder

[Andromeda]

It has already been mentioned before one of the ways Lightning can restore her health is by visiting restaurants, but the normal method in FF games is using the Cure spell. Such options will not be available to Lightning this time around. If Lightning wants to heal, she'll have to consume Glory Points to gain back lost health. Glory Points are points used for several actions. They can be consumed to teleport across the area, stop time and now also heal Lightning. But since there are many ways it can be spent, you'll have to be careful in judging how they are used.

They did say that finishing battles will earn some Glory Points and the stronger the enemy the more points earned. So there is some risk involved now to heal Lightning.

Source: Lightning Returns: Final Fantasy XIII Won't Let You Use MP To Heal