The cigarette lighter or at least the fuse that protects the illumination of the cigarette lighter is probably blown. Check dash fuse box number 8 20Amps, and fuse 14 a 15 amp fuse.
I doubt if this is your problem. See if you have spark and fuel. If you have no fuel the tach relay/main relay (Honda call it a PGMFI main relay) fail ofter. Have also seen the electrical portion of the ignition switch has failed. There is a company that independent auto repair shops get their information from, this same information is available inexpensively for people that work on their own cars.. The information is year make and model specific, covering repair procedures, torque specifications, fluid capacities and specifications, service bulletins, component locations, wiring diagrams ect.... Alldata is very easy to navigate http://bit.ly/AllData_Repair_Manuals_Online