Clip on subplot border mandatory?

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Hello,

I would like to stack subplots in a figure with a couple of basic
x,y-line plots with the subplot frames removed.
But possible overlap of subplots is limited, because the drawn data
lines are clipped on the border, if you'd lets say manually reset the
ylims and decrease it below the highest data y-values.
I know it is possible with any kind of text or data annotation, but do
not find a way to let the data lines cross the frame border.

I hope I made myself halfway clear - pls. don't hesitate to ask if not.
Does one of you possibly have a solution or is it maybe plain
impossible?
Thanks!

Cheers,
Nix