Anim BP Replication (?)

Hi,
I’m making a racing game and after building the base game now I’m implementing the changes to make it multiplayer (big mistake, I know now…). The thing is (at least for now) that when I move my character his animations are playing for all the other characters in the scene [happens for each client separately - in each client’s view the animations are happening for all characters while in the other windows there are no animations playing (I’m testing it without building, as listening server and client)].
Anyone knows why that might happen?