Well, fear not, I know the name of the place now: it's quite literally just a sunken temple below the Custard Sea. You's gotta reset to a checkpoint to leave, there's no other way to escape the area I think.
Spoilers Below:
Dry Dry Beach is just the name given to the beach area that isn't Jimbly's Beach (the area with the Worlds.com building). Clawed Cove, on the other hand, is the cove at the exit of the canyon with the small planet you can blow up.