Speeding up animations is something that we have (and still) look into, but it’s not as straight-forward as it may seem.
In the Firaxis XCOM, as soon as you click to confirm an action, the game has already rolled all of the dice and already knows all the outcomes. It knows if you unit is going to be spotted, spot something else, activate a pod or trigger an overwatch. Much like taking a shot, the outcome is known before you even click to fire. The animations are purely cosmetic, and can be speed up or skipped with no effect on gameplay.
In Phoenix Point, a lot of things are driven by the animation - this is especially important for the ballistics system and terrain destruction. Being able to skip the animation completely is almost certainly off the table. We continue to experiment with being able to speed the animations up - but this can cause issues with the in-game physics