It is not clear to me what your use of the terms "Split" and "Seed Timeline" are refering to. If you do not want something to loop that is animating based on timeline frames you need to implement a stop() command.
By split, I'm referring to a seperation being made between a series of connected frames that make up an animated symbol. Each time I create this seperation the symbol starts its animation over again completely. Is there no way to fix that?
My original response stands. If you want to stop a timeline animation you need to implement a stop() command.
If you need the animation to start/restart at a specific point then you use a gotoAndPlay() or play() command depending on where that starting point is relative to where you currently are on the timeline.