Is this like "I'm as honest as they come", in that people who feel the need to tell you they're honest rarely are?
I have a friend who says this a lot. He means he's good at talking about how he feels and doesn't hide things. I'm not sure if I believe him. He does share, probably more than is normal/desirable sometimes, but I still think he tells half truths which are somehow worse than saying nothing at all. I.e. he wants me to think I know him well, but actually I'm not sure if I do.