The style could vary a lot. It might be cute and cartoony, or more realistic and dynamic, depending on the cartoon's theme and target audience.
I have no idea. It could be some kind of artistic expression or a strange concept gone wrong.
It could be that she's trying to escape a dangerous situation or she's in a hurry to get somewhere. There are various reasons that could explain her running away.
The cartoon man and woman might be running because they are late for an important event. It could also be that they are just having fun and being playful.
It could be that she's late for an important appointment and is running to make it on time. Or perhaps she's being chased and wants to get away safely.
It could symbolize freedom, escape, or a pursuit of something. Maybe she's running towards a goal or away from a problem.
Maybe she's in some sort of danger and seeking someone to rescue her.
A running woman cartoon might have dynamic poses, flowing hair, and a determined expression to show her effort and speed.
Maybe she saw something scary that made her panic and run.
Maybe she's in a hurry to get somewhere important.
It might be a realistic style, with detailed movements and expressions. Or it could be a more abstract style, using simple lines and shapes to convey the action of running.