We can say that Chelsea came back from nothingness with Pochetino. I think it was an important stance for Chelsea and they dominated the game. If this team and team continues, Chelsea will do very well in the future. Chelsea is on the rise, it is a matter of curiosity whether they will achieve continuity.
Arsenal had a hard time getting to the goal, the first shot on goal was in the second half, think about it, I think it was a difficult match due to the ground, so there were a lot of mistakes and both teams disrupted each other.
Chelsea didn't dominate the game, I will disagree with you on that, they only had some level of dominance at some point and this came after their goals but later Arsenal was able to balance the game with some forced attack and good balance at the midfield, Chelsea had a mediocre start with Arsenal dominating until they scored their first goal that was when Chelsea was then seen coming out to perform.
Gradually Chelsea may be restored to it's past glory under pochetino but this few games well played isn't enough proof yet he will still need some more time to show that he has become capable enough to get the team to their glory again. He has got the good players enough for him to build a better team , I think he just needs to work on his tactics and improve better on it, we just hope Chelsea gets better before the season ends.