Warning: If you've recently bought a Lori device, you might prefere, not to know about the following. Though, if you're honest to yourself, there likely is a reason why you found this text. You can probably remove the cocklock easier than you thought:
Before we begin I have to say, I do not and never did own a Lori chastity device myself. My personal preference goes to full-blown chastity belts, encasing the genital completely and pressing it firmly against the body. I was never quite convinced of the security a screw might possibly provide. Already two years ago I expressed my conviction, that a coded screw-head without any moving mechanical or electronic locking mechanism cannot pose a big obstacle.

As time went by, now the situation arose, that someone challenged me on that claim. I had a lengthy discussion with him, why he eventually wants to cheat on his keyholder. If you don't want to play anymore, talk to her or ultimately remove/destroy the device. I really dislike the dishonesty of someone keeping a spare key or otherwise escaping from chastity and pretending to be savely locked up. Therefore I'm really uneasy giving away any picklocks I might come up with.
On the other hand, I realize, there are quite a few websites on the net dealing with lockpicking. The knowledge alone how to do anything is plain neutral. Granted, some ideas might be a little bit more sophisticated, than you would come up with all by yourself. But in the end it doesn't make a diffrence where you get the information from. The point is, if you accept chastity or if you employ any technique whatsoever to escape / betray. After all I conclude, that the current locking mechanisms available today are only a bad compromise as they ought to be fairly small and unobtrusive. One day, they'll get replaced by fingerprint sensors or anything comparable. Those are still to bulky or not durable enough, to put them on a chastity device withstanding a daily shower right now.

As you might see on the pictures, the "key-way" is an irregular pentagon with a single spike in the center. That is why you cannot insert any ordinary smaller tools and hope they might interlock by chance. This is absolutely fine for the intended usecase to keep a poorly prepared sneak thief from unscrewing the metal fittings on your backdoor, even if he brought a skrewdriver along.
But to tell the truth: Using this "lock" on a chastity device is what I call careless. Of course it's particularly small but you'd be better off with a red ribbon. As the device is twenty-four hours a day, seven days a week available to his playing fingers, he will poke any piece of metal he can get hold of into it, just to see if it fits.

As the skrew I was given does not belong to me, I started slowly to not damage it. My first attempt is a piece of aluminium, left over from my old computer-casing. I cut a 3 millimeter wide stripe. Aluminium is particularly soft. To get it around the spike, I posed it over a small slit on the vise, put a small slotted skrewdriver along the axis and gave it some beats with a hammer. Next I set it on the skrew head and hammered it all the way in. The aluminium was a little bit to thick, but weak enough to give way. Now you grab the strip with pliers and carefully turn it along the axis of the screw.

As you can see, there is just one last imponderability. The screw has a diameter somewhere between 3 and 4 millimeter (maybe some american measurement ?). At least I didn't find a matching nut in multiple hardware stores here in Germany. That is why I "unscrewed" it from a piece of cardboard clamped into the vise. Now you might argue, that I didn't clamp it hard enough and I might answer, that the original key won't unscrew anything, if the vise sqeezes the thread flat, thereby destroying the screw.
To sum it up: I think, I've confirmed my claim by this experiment: I could unscrew the Lori should I ever get one as a gift.
On the other hand, I sent out the lockpick to the owner of the screw with permission of his keyholder. He claimed, he was unable to use it to open the lori. I speculate, he might have been to shy to hammer the aluminium all the way into his screw. I admit, it might be challenging to place your crown jewels on an anvil. In addition, there is always a residual risk to damage the device or even worse damage the skrew and be trapped until destruction of the lori. Finally he returned the picklock and I disposed it myself, so he won't cheat on his keyholder for sure!