Is there a way to record a movement with the osmo mobile and repeat it? Like when you select the points when you are doing a M-Timelapse

Try Litchi.This App (non DJI) allows you to set a gimbal start and end point and time for gimbal movement and save that set of parameters so you can recall it multiple times.
What it cannot do is to record a continuous gimbal movement you perform via joystick for instance.

Not 100% sure if Litchi works with Osmo mobil, but Osmo classic works just fine (beside the annoying gimbal jitter you have to eliminate in post production).