If you've come across one of the three theorists of 'recognition' Thompson focuses on, and are in need of a sense of how they sit with the rest of contemporary critical theory, this could well be what you need. Likewise, if you know nothing about this new strand in political theory, it might be an excellent introduction to the space.
It's a decent, wide-ranging summary of the key features of their three takes on the topic, exploring some interesting challenges and testing each approach to recognition against them.
That said, I wasn't convinced that Thompson fully grasps the historical roots and political traditions that Honneth is building on (from my own reading of him). To my mind, Honneth owes nothing to the more mainstream politics of identity, despite the two sometimes appearing to use terms in common. This gave me a concern that his representation of the others (with whom I'm unfamiliar) might be similarly constrained. Still, as the subtitle says, it's an introduction - as long as that's born in mind, it shouldn't mislead.