It's been a mixed bag for Klopp.
I won't deny that, at times, they seem to play really cohesive football, particularly against the bigger sides. Their performances against Chelsea and City (league) were excellent, and even in the LC final, although they should have been well out of the game in normal time, some of their ease of finding a team mate, and quickly, was once again impressive. So that's the positive take-away of Klopp's time at Liverpool. That, just as it was at Dortmund, the players find each other very easily and with zip to the passing. That leaves defences unsettled and can be something to really build on.
On the other hand, despite that positive, the rest has all so far been a bit of a let-down. Let's be clear here, while every manager is appointed for a reasonably decent-ish term, they got rid of Rodgers because they really believed top 4 was possible this season. Rodgers challenged for top 4 last season, and they probably would have done so again this season without actually getting in. That decision, so far, has not been vindicated as Klopp as done even worse than Rodgers. They wont sack him for it of course, as that would be madness, but it's going to put a lot of pressure on him next season. If he doesn't get top 4 next season alarm bells could start ringing. I'm sure he isn't as deluded as Moyes was expecting 6 years to carry out his project at his own pace.