Hm. Nutrition sciences is aimed more at preparing you for per med, pre dental etc. clinical nutrition is quite more specific leading to becoming a dietician.
I hope these websites work
Clinical nutrition: http://nutrition.ucdavis.edu/content/ugrad/clinnutjob.pdf
Nutrition sciences: http://nutrition.ucdavis.edu/content/ugrad/nutscijob.pdf
If you want more detail come off anon and I’ll message you privately :)
Hope this helped!