HI . I probably won't be of much help considering I have the same problem.

When I do manage to get a clip in.... Chloe shakes her head the clip flies out and she tries to eat it

I'm thinking maybe her hair isn't thick enough yet , I'm not sure. I will be watching to see the advice you get
I'm hoping she gets thicker hair ( or I get better with the bows) because they look soooo cute with them in !