Thanks for the tip Monte and Tony! You are not too late.

I was actually trying to put the circlip ends into the notch but quickly gave that up, so I will try to the opposite way tomorrow as you suggest.
I'm using new clips, they appear to be slightly thicker (and more rigid) than the ones in place, so that makes it even harder.
Anyway, I'll curse BMW sufficiently, take the PIA that is required, and hopefully with your advise get it in place tomorrow.
No flat side on my clips either, not the new ones nor the old ones.
A few scratches on the skirt, I will try to dress it down gently.