So Amy stops running...and the thing with Clara is that I don't think she ever was running from anything.
Yes, that's it! Thank you for encapsulating it so perfectly!!!

But Clara's motives...she does seem a lot more like the Doctor, just caught on the wonder and adrenaline and curiosity.
Mmmmm. There seems to be a little 'stole a Time Lord and ran away' - it's always her choice, and she sets all the rules.