Then perhaps you can define it as a cavern, but it is very short. I used to dive in a quarry that had a submerged pvc pipe about 20 feet long one could swimthrough. Is that an overhead?
In Devil's Throat, I think the most dangerous aspect would be narcosis and becomming paranoid. You're going one way in and straight through so if you keep going forward, you are going to emerge rather quickly into open water. There is also a danger of getting trapped on the ceiling if you cannot control your buoyancy.
As I said, it is a huge reef with many swimthroughs and can be dived numerous ways. I stole the following description from Aldora's site (and this is the way they dive it). They're calling it a cave:
The entrance to the Devils Throat cave is at 90 feet and out of the current the dive guide will check for air supply and gear of each diver. When all are ready the cave can be entered. A nice sandy bottom is inside and there is a reasonable amount of light. To the left and down is a very dark spot. That is the Devils Throat which is about 3 feet in diameter that leads down at a 45 degree angle. Dark at first, light is soon encountered and it is most fun to go through without a flashlight. Dont worry about contacting the wallit is smooth and finely polished by the impact of tanks! Make sure that you are following the diver in front of you, and stay up with him or her.
You well first see an exit to the right which is at 120 feet. If the group has adequate air and no deco time the dive guide will exit further down 130 feet. Dont dwell there, but rise to the right and enter a very large cavern that some also call the Cathedral. There the group should dump the air from the BCs and kneel in the sand at 80 feet, check air supply and the dive guide will illuminate the very famous yellow sponge that has grown in the shape of a cross. This author did that one Easter Morning and could actually hear the squeals of delight from the ladies in the group!
From the Cathedral you will exit another swimthrough to the wall once again and do a vertical headfirst descent through a small crack in a coral head, down what we call the Plunge. Again at 130 feet you will need to rise again, through a huge arch to a sandy location at 70 feet. Another gear and air check and then the dive guide will again enter the coral head, going back toward the Plunge but through some completely new swimthroughs. Not down the Plunge again though as no deco time is pretty well gone, but back up through the huge arch to the sandy area at 70 feet. If there is adequate air supply for all, the dive guide will swim back south hugging the sand and coral head to stay out of the current, getting near the Devils Throat Cave one more time.
Now the exercise is over, rise to the coral head tops and cruise the wall watching your air bubbles percolating up from the caves down below. Glide along the wall and when the coral head ends you will ascend to the safety stop. The normal dive time for this dive with high capacity tanks is 50 minutes overall.
The cathedral with the cross didn't inspire any squeals from me.

The Cathedral without the throat is considered an "intermediate" dive in the guide books.