The danger involved in not washing after cutting nails:
If one does not wash his hands after cutting his nails, then he will have inner fear for one day.[1] In addition, if he is a Torah scholar, he will forget his learning. If he is a layman, he will lose his mind.[2]
*For a thorough detail of laws related to cutting nails see βThe laws and Customs of Erev Shabbosβ Chapter 1 Halacha 17β
[1] Kama 4:19
[2] This means to say that he will come to sin, as one does not sin unless a spirit of insanity enters him. [Kaf Hachaim 4:89]