What we saw today, probably happens more than we realise, today we just got to see it on camera. I expect these things get sorted out behind closed doors most of the time, and they just get on with it.
I wouldn't worry too much, as we have the best manager in the world for handling such things. Plus I do think they have a good relationship off the pitch, and probably get along quite well.
Bobby's reaction in the tunnel was funny, but it was quite telling too. He's obviously seen this before and knows it'll all be sound once Sadio cools down.
The media will be doing their best to make a big deal out of it, but best to just ignore it and let Klopp and the lads get on with their business.