Unfortunately the gear teeth don't really mesh with anything else except the rip-cord. But like everything else, it fits with the System! Yeah, can you believe it? The first thing that grabbed my attention was that little nub. When I was a kid I was disappointed that the little void under a stud wasn't sized to match anything. Now we know of course that LEGO sometimes uses that void to place tracking devices to understand more about how LEGO is played with. If you find a tracker, smash it!
How? Use this little piece. The nub fits that void and the teeth are sized at 4.8mm diameter which (as we all know by now) matches a stud. Fits great into a 1x1 plate, albeit a little loose. The fit into a round 1x1 plate is much tighter. If your fingers aren't very grippy, you might need some pliers.
Since the diameter is a stud, it should fit into a tube under a brick, right? With ease!
Hey wait, is this the missing double male stud SNOT piece we've been seeking?
Oh. Yes. With exactly a plate of width in the middle. (I really did need pliers to extract the hex end as it was quite tight).