I'm no lawyer but I found this:
http://www.nragun-safe.com/PDFs/new%2010-10-02%20gun%20laws.pdfWhile there are no restrictions under State law it does appear some cities, at least Omaha, places a stun gun in the "weapon" category and outlaws carrying it concealed.
Updated Oct 10, 2002
Omaha Municipal Code
ARTICLE VII. WEAPONS*
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*Cross reference(s)--Possession of weapons during civil emergencies, ? 8-85;
firearm dealers, ? 19-361 et seq.; discharging fireworks, possession of
firearms in park, ? 21-9; disposition of confiscated firearms, ? 25-6.
State law reference(s)--Regulation of weapons, R.R.S. 1943, ? 14-102(6);
handguns, R.R.S. 1943, ? 69-2401 et seq.
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DIVISION 1. GENERALLY
Sec. 20-191. Definitions.
For the purposes of this article, the following words and phrases shall have
the meanings respectively ascribed to them:
Stun gun: Any hand-held electronic device that is powered by an internal
power source, such as batteries, and that is capable of introducing an
electrical current into the body of a person which when introduced shall be
capable of disrupting a person's central nervous system and rendering
him/her temporarily incapable of normal functioning. The electrical current
may be introduced into the human body by means of direct pressure to the
body from fixed electrodes on the electronic device and/or one or more
electrodes attached to a length of wire and which, upon being fired from a
firearm or mechanical device, strikes the human body.
Weapon: A firearm,
stun gun or any other instrument the use of which is
intended or likely to cause death or bodily injury.
(Code 1980, ? 20-191)
Cross reference(s)--Definitions and rules of construction generally, ? 1-2.
Sec. 20-192. Carrying concealed weapon.
It shall be unlawful for any person except an authorized law enforcement
officer purposely or knowingly to carry a weapon concealed on or about his
person.
(Code 1980, ? 20-192)