I'm currently guessing that it will be lower level dungeons only, and that there will be special Squadron based rewards for them. Although probably only a few specific dungeons, rather than 'anything below lvl 50.' The heavy mechanics nature of FFXIV bosses would make generalized AI difficult. In addition to the rewards for and from your Squadron, I could possibly see some sort of glamour rewards similar to Wondrous Tails or the sacks from Palace of The Dead/Deep Dungeon.