Miles' story picks up from where we left off at the end of Inteference Book 1 - and it is all one story with no real separation, so don't even think of reading this book if you haven't read book one yet. Seriously, it won't make any sense to you.
However, here things tail off somewhat from the levels the first book achieved. While there Miles was throwing out interesting plot-points and weaving a gripping tale, here he has to bring it all together and tell an actual story. And it doesn't really work. The Eighth Doctor's incarceration doesn't work because nothing is made of it, astounding given that it persisted almost throughout the first book and well into the second. And the motivations of his captors are just, well, unbelievable. You'll know what I mean when you've read it. The ending to the Eighth Doctor's section, when Miles tries to convey a wordless communication using words, doesn't work. Fitz's rebirth is one of the most convoluted things I've ever seen.
Meanwhile, something bad happens to the Third Doctor's continuity. I won't say anymore, other than to say that this didn't seem like the catastrophe I was expecting. Miles handles it well, writing something fitting that works well in the current storylines. But there are other problems with the Third Doctor's storyline, most notably the lack of any explaination as to what drew him to Dust in the first place.
But the real problem with this book is that the Eighth Doctor's story feels far too long - there's not actually a whole lot happening, and it certainly doesn't feel more than the average book - and the Third Doctor's story feels too short - it goes there, does it's stuff, but very little actually happens. It feels more like an extended story from Short Trips than something of worth of its own.
Overall, it's a good read, though mainly on the grounds of things that carry over from the first book. Not bad, not good, just kinda there.