They're exempt when off duty according this: http://www.cga.ct.gov/2013/BA/2013SB-01160-R00-BA.htm
Exemptions from the Ban
The following may possess, purchase, or import LCMs:
1. members or employees of DESPP, police departments, DOC, or the Armed Forces (service members) (a) for use in the discharge of their official duties or (b) when off duty;
2. employees of a NRC licensee operating a nuclear power plant in Connecticut for providing security services at the facility, or any person, firm, corporation, contractor, or subcontractor providing security at the facility; or
3. in-state manufacturers of LCM that manufacture or transport LCMs in Connecticut for sale here to exempt persons and entities above or for sale out of state.