Your next boss fight is blocking the path out of here. Practice on the Bits if you want, but you should at least consider engaging the boss once to scan it and its minions in one go.
Once the boss falls, ransack the chests, you can reach, including the ones to the north. You'll need a Copper Key and the Hammer to reach some of them, so you'll have to come back later.
Make sure you save and heal up before you try to take the southern exit; Godcat will ambush you! Just buff, heal, and revive the fallen until she leaves the battle, then destroy the Blue Crystals she summons.
QUESTS: Get 5 Dino Fossils.
REWARD: 1 Emerald, 1 Ruby, 1 Topaz
Near the eastern exit (1 wave): 3 Fire Bits
Above the Fire Bit (1 wave): 3 Thunder Bits
Above the Thunder Bit, near Chest #3 (1 wave): 3 Ice Bits
Below Chest #3, blocking the exit (1 wave): Crystal Golem, Fire Bit, Ice Bit, Thunder Bit
At the last bottleneck, beside the westmost boulder (ambush, 1 wave): Light Godcat (disappears after 3 turns), 2 Blue Crystals (summoned after 3 turns)