What did Jinbe lose in Charlotte's roulette? I'm a bit lost in Jinbe's status and what happened with him and Big Mom.
In chapter 830, he confronts Big Mom and announces that he is planning on leaving her alliance. In return, she demands that he as well has to lose something valuable as well, and what will it be is decided by the roulette game. 

However then in chapter 835, there is a report in the newspaper saying he backed out, which would imply that he has withdrawn his request to leave Big Mom's crew. This is very unlikely considering his portrayal, so I assume this was some kind of false report because later on he also admits to Luffy that his alliance with Big Mom is over. However, I don't know what is the reason for such a false report in the first place, it makes no sense to me and I have also read some theories which are suggesting that he did not lose anything at all which is even weirder, why would Big Mom let him just go that easily?

The only plausible explanation to me is that he has spun the wheel and he lost a bit of his lifespan (or I have missed some important detail in the story).
As stated in chapter 834 afterward, Jinbe didn't go through with the roulette because it is set up in a way that somebody who does it will probably lose his life and that wasn't what he wanted because of his pledge to Luffy.

So he just went for the normal thing somebody would do and he betrayed her in chapter 851 by freeing Luffy from the prison and escaping together with them from Big Mom.