Wings/flight
Despite the fact that nearly all of the characters have wings, flight isn't something that's addressed in Disgaea. In the course of battle, the only characters with the ability to "fly" are Tink (a flying frog) and a couple of the monster classes, and all that entails is that they can move through enemies and objects rather than around them. They still can't fly over gaps, as one would logically think; they have to be picked up and thrown like everyone else.
But despite that, evidence would indicate that the wings aren't entirely ornamental. In the animated sequences (the ones that come in the game, mind you - I've only seen the first few episodes of the anime and what I saw I hated), various characters have been shown to fly briefly. Etna's wings grow and flap when she's hopping off of a prinny, and Flonne's wings grow in one of her attacks. The indication is that the older a demon/angel is, the bigger their wings are, but that's not like a rule, and game mechanics aside, I'd have to think about it a little longer...
But yes, Flonne can use her wings if she has to, but she won't have any inclination to do so. It's much easier for her to walk/jump/be thrown. Speaking of which...
Throw
Flonne can pick you up and throw you, even if you are twice her size... 4 squares would be 15-20 feet or so, I'd think. Don't worry, though; she trusts you about that far, too.
Tail
Yes, the tail is prehensile.
High level lolz
Look at it this way - in most RPGs, you're capped at 99, so it's not really unreasonable to say that most humans are probably capped at 99. Gordon and Jennifer are speical or something Iunno. If you came from a Final Fantasy and you were on level 99, you'd have comparable stats to a Disgaea character on level 99... not exactly the same, and the Disgaea character would have waaaaaaay better equipment, but in the same ballpark.
Flonne is on level 600.
That puts her in league with, if not the bigtime godmodders for the record, Il Palazzo is on level 9,999, at least the shonen retards (the way I look at it, if I have to level up for hours just to beat her, you do, too).
Fighting in general
Flonne is good with both ranged attacks and magic. Her biggest weakness is melee battle, due to low defense and inability to dodge and counter. Ideally, you'd put her behind someone who can block off enemies while she's sniping.
Above all, though, she's a very powerful healer.
ANY QUESTIONS on what Flonne can/can't do can go here, and maybe more stuff if/when I think of it.