It's an interesting question. I think maybe the difference is that Amy was more about not wanting to fit in, and when she was older, being afraid of settling down, committing etc. But when she finally does...I mean, look at The Power of Three. She still loves the Doctor, still enjoys the traveling, but she's no longer driven, the way she was before. She's not wanting to miss out on "real life". So Amy stops running...and the thing with Clara is that I don't think she ever was running from anything.

Clara also does seem to have a somewhat unusual approach to life (and other people). And just the fact that she's picked up traveling through all space and time as a *hobby* says a lot about her. For Amy, it seemed more like an escape (from making choices about her life)- you know, neverneverland- and eventually she no longer needs to escape. But Clara's motives...she does seem a lot more like the Doctor, just caught on the wonder and adrenaline and curiosity.