Rotating first person camera along spline?

So being bored and not being flagged into Overwatch beta I started up a first person project in hopes to replicate the movement of Tracer, cause it looked fun to play. And the setup I have for the rewind time aspect of her abilities is that as the character moves it creates a spline and addes a new spline point every second or so. Then when you press ‘e’ the character attaches to the spline and moves backwards along it for a certain period. Which works great, but for some reason I can’t get the camera to rotate along the spline no matter what I do. Does anyone know how I could do that? I’ve tried the things that seem obvious to me but they aren’t working for some reason. Any help would be appreciated.

Here’s how it’s currently looking