I like Chamberlain as a player when I've seen him, but he'd have to dramatically increase his production if he were to come here. I can see the logic - English (HG), versatile, young player with plenty of talent but who has never really kicked on at Arsenal. I'd back Klopp and a change of environment to maybe get something a little extra out of him.
On the other hand, has a poor injury record, and no guarantee that a change of scenery will re-ignite his career. I imagine the plan would be to have him deputise for Lallana/Gini when either player is out, and we do desperately need some genuine depth for next season. Honestly though, I was hoping our sights would be set a little higher. Especially for the mooted fee. For the right price though, he could be a shrewd signing, very much depending on the other personnel we bring in.
As others have said, anything above £20m and we've been absolutely had off.