I also missed your initial submission (stupid work), so I'll do both here as well. Guess it's a good thing you attached your rewritten chapter 1.
Okay, I'm going to agree with most of what Ryos said about the beginning, but I'm going to do it in my snarky way. So here's exactly what I was thinking as I read it:
The air is shaking? What kind of phenomenon... oh, it's a clock's bell. And she thinks she's late for something, but she's not. (Cliche)
Holy description, Batman! Well, no problem with that... oh geez, more description... (scroll scroll scroll) No, I'm reviewing this, can't skip parts. (scroll back). Okay, so I can see everything around her, but nothing's *happening*. Now when is the heist going to start?
And yes, I knew it was a heist from the beginning, but only because your title gave it away. However, unless you want to bore your readers to tears for the first 3 pages, cut most of the description. I get the feeling that some of the reason it's there is to establish scene, and it also does a good job of showing how meticulous to detail she is, but almost all of it is pointless because it never plays any role. We don't need to see what's making Mia bored enough to doze off to know how it feels; most of us have been bored before (like most of my college classes).
As for the chimney, it isn't happening. Given the technical level of your society, I'd imagine they would have figured out how to use dampers, which you are not getting past. Flues are also usually smaller than a person. Also, rain caps are common in more modern chimneys, which would make it practically impossible to get out of. So, unless your fireplace is about 10' wide (that's about how big the entrance would need to be for a flue big enough for a human to fit through) and there's no damper at all, she's just not getting out that way. The chimney on my house has 3 flues, each of which I can barely fit my hand down.
As for the split POVs... well, I'm not a particular fan of breaking it apart that much, but I can see how it could work, because it keeps the two scenes very temporally aligned. Except that it doesn't. You have the scene with the negotiation interspersed with the robbery, but the robbery took place 45 minutes before the negotiations... which really makes it seem weird at the end. Now if they were happening at the same time, I think that would be *really* cool. Have Mia walk in and dissolve her Silence right after he asks, and give him the shard. "Here you go, job's done. Quick enough for you?" Awesome.
On to chapter 2. This is definitely building character and world, and I don't really have a problem with that. We have to learn about the characters somehow, right? I'm going do disagree with Ryos a little bit: smallclothes did not originate from WOT. The term's been around in the real world since 1759, according to Webster. People understand what you mean with it, and it's a lot older than the word underwear. The nature of common rooms was the nature of common rooms. There's no reason to make them different just to be unique. It'll just stand out as weird to most people who *expect* that a common room of a tavern/inn is like that. It's not like Robert Jordan didn't get his ideas from somewhere, too... a lot of the time, it was based on real-life.
Hyperbole is a bigger issue, though. Don't overact your characters. You have something real good here, and I don't think comic relief in boys falling in fountains is necessary. If you want him wet, have him staring at her and not paying attention, and trip into the fountain instead (for example). That's at least more natural of someone staring at an oddity.
Speaking of which, why are the Dronari gawked at? You never really explain why. You mention their skin, hair, and height as being somewhat un-normal, but there's got to be more than that. Were they beaten in a war and driven off? Are they generally slaves of some sort? Or do they have something more unnatural about them than different hair and being taller? I just feel like I'm missing something there.
So, I think it's pretty good. I like the steampunk-ish atmosphere (I hope you're going for that), and the magic system seems simple to grasp, although I will start to nitpick on how it works if I don't see some deeper explanations in the next couple chapters. Given that you're using magic to solve problems, you'd better have some hard and fast rules on its limitations, or I'll wonder why your character doesn't start doing overpowered things with it.
Keep up the good work.