I like Terriers and the writing is sharp, but I'm not invested in any of the characters. I know it's only the second episode, so there's room to grow, but the basic set-up isn't that interesting, at least for me. Hank used to be an alcoholic, reminisces about the past, and is unwilling to let go if what he once had. Britt has a shady past, as implied by Detective Gustafson, but seems like a good guy.
And while the PI work feels fresh so far, there's already a pattern occurring. In the pilot, Hank and Britt end up investigating the rich guy who paid them, eventually planting a gun on him, and in "Dog And Pony," they end up helping the guy they originally wanted to catch. As for the ongoing murder case, Gustafson is already onto them and their gun planting, though it looks like it'll be a long while before a resolution.
Score: 8.8/10
