import arcpy
from random import *

rows = arcpy.UpdateCursor(r"C:\new_shapefile2.shp")
shape = arcpy.Describe("C:\new_shapefile2.shp").shapeFieldName

increment = range(-50,50,5)
pos_neg = [-1,1]

for n,row in enumerate(rows):
    if n > 0:
        point = arcpy.Point(row.getValue(shape).getPart(0).X + (increment[n]*pos_neg[randrange(0,2,1)]), row.getValue(shape).getPart(0).Y + (increment[n]*pos_neg[randrange(0,2,1)]))
        row.setValue(shape, point)
        rows.updateRow(row)
del rows