--dizziness can certainly result from some types of autonomic neuropathy, though it can also result from a lot of other causes.
Often, people with autonomic neuropathy can have problems with sweat production and with postural hypotension (a fainting feeling upon changing position too rapidly, as the small autonomic nerves are too damaged to compensate by moving blood around the body quickly), as well as with gastric motility.
Many people with small fiber syndromes have some autonomic involvement (especially if diabetes is the cause), though this is often minor/subclinical:
http://neuromuscular.wustl.edu/senso...tml#idiopathic
http://neuromuscular.wustl.edu/autonomic.html