A most interesting start, here, and 'twill be most interesting to see how things develop with Harry's extra training. I rather suspect that Harry's going to need some help hiding this ability from a manipulative Dumbles.
I rather like the idea of Flamel as an Unspeakable and I reckon there's not anyone who can teach Harry more of what he needs to know. It's going to be interesting, though, to see who they have help him hone that knowledge into practical abilities that'll support and sustain him in combat situations.
I'm most definitely looking forward to further chapters.