Do you remember those old NES, SNES, Genesis era licensed side-scrollers? The ones that would take the main character from the source material and make him run through levels that are only vaguely based on scenes from that media, jumping over enemies and collecting items that were barely relevant? Like the old Looney Toons games, where Bugs Bunny would have to collect carrots and dodge an inexplicable army of Elmer Fudds?
This is pretty much one of those games.
There are differences of course. It's voice acted by all the right people, and a graphics engine that looks comparable to Trine when it's not doing a close up of Eleven or River. The music is the same as the show, for better or worse. At its heart, though, this game is just another one of those poorly-fitted side scrollers. River has to search for the pages of her diary, which have been spread across earth for reasons even she lampshades as bizarre. Eleven is constantly on the search for nicely-packed hats which seem to be speckled on alien ships and across a post-apocalyptic future, while pursuing the MacGuffin of the plot, which loosely strings as many of the Doctor's enemies together as possible.
The music, as in the show, continues to be high quality, though oddly used. For example, they play the bombastic "I am the Doctor!" theme right through the beginning tutorial. While that's a fun song, it felt very out of place of learning how to jump over crates.
The puzzles are the same hacking puzzles you've seen in every other video game ever - which is to say, they have nothing to do with electronics whatsoever. Think Mass Effect and Bioshock's hacking puzzles, with a decent dose of crate puzzles. Inoffensive, but also uninspired.
Matt Smith, to this games great credit, seems to be enjoying the hell out of voice acting this game (or just being the Doctor in general). Alex Kingston isn't quite as interested, but pulls off a competent performance. Theres some co-op built into the game, which largely gets in the way, but does lead to a cool moment or two.
Overall, this game isn't bad, but it sure isn't good either. Don't expect too much from it other than a quick romp through space and time (mostly just time) with a cliffhanger that will never be fufilled.