I have an Indulgence and several of those batteries. They are a bit longer so the spring in the Little Chuck is very compressed, but they do fit.
Unfortunately, these batteries do not last long at all. Mine are only about 6 weeks old and will only vape about an hour or so. I do not have a meter so I can not measure, but they are batteries I would not buy again.
I have 2 16340 Ultrafire and 2 16340 Trustfire that I got from PRC that also do not hold a charge at all. I got them for a device I did not keep, but they are money wasted.
The AW ICR 123s 3.7v however are very good as well as the Madvape 18350.