Clara having a fear of heights feels a bit out of nowhere, don't think it's mentioned in her TV stories (though I could be misremembering).

Other than that weird point though, this characterisation for Clara is great, it's really a shame we dont' see more of Teacher Clara, especially towards the start of her teaching tenure, most of what we do see is from when she's already well settled into it.

Seeing how she views the kids is great, she really enjoys teaching and sees something in these kids that she wouldn't've without The Doctor. It's just really sweet, and the kind of thing that really works in this collection of kids stories.