I'll have another say on this. As fans we tend to frequently misjudge the ramifications of recruitment decisions. It's almost already been a year since I was basically bemoaning Klopp's decision to not replace Coutinho in January, yet we became an even better team without him. We were bemoaning our failure to buy Salah or Konoplyanka in 2014 yet we still exceeded expectations and almost won the title. I think that Klopp has done more than enough to earn our trust with whichever squad decisions that he makes. He proved us wrong with Robertson, he proved us wrong with Ox, and he proved us wrong with selling Coutinho in January. He does this job 24/7 with a team of staff there to support and aid his decisions. I'm sure that they made the decision to offload Clyne with a lot of educated reasoning derived from training ground/other observations that we just don't have access to. Milner and Fabinho are highly capable stand in right backs. I mean, if Clyne was so good, then how was he usurped by an inexperienced 18yo midfielder? How does that alone make him a better right back than Milner or Fabinho?
Milner has played plenty of games on the other side at left back - even for the whole season 2 seasons back - and was doing so well initially that people were talking about him as being one of the best left backs in the league, despite it being his weaker side. Therefore, I think he is more than capable of filling in for TAA for a mere 3 of 4 games.