The cigarette lighter outlet is only on when the car is on or the key is in the accessory position. The two dedicated power out lets are always on. AS a point of interest if the battery is dead you can jump the car through those outlets.
Check the fuse.
The owners manual list fuse numbers: 1. Power Outlet (Front) 16. Power Outlet (Rear) 31. Cigar Lighter
The 2010 Jeep Wrangler is 6 ft. 10.8 in. (82.8 in.)12V front power outlet(s) wide.
The 2009 Jeep Compass is 5 ft. 9.3 in. (69.3 in.)12V front power outlet(s) wide.
The 2007 Jeep Patriot is 5 ft. 9.1 in. (69.1 in.)12V front power outlet(s) wide.
The 2001 Jeep Cherokee is 5 ft. 9.4 in. (69.4 in.)12V front power outlet(s) wide.
The 2010 Jeep Compass is 5 ft. 9.3 in. (69.3 in.)12V front power outlet(s) wide.
The 2012 Jeep Patriot is 5 ft. 9.2 in. (69.2 in.)12V front power outlet(s) wide.
The 2002 Jeep Wrangler is 5 ft. 6.7 in. (66.7 in.)12V front power outlet(s) wide.
The 2008 Jeep Wrangler is 6 ft. 10.8 in. (82.8 in.)12V front power outlet(s) wide.
The 2014 Jeep Patriot is 5 ft. 9.2 in. (69.2 in.)12V front power outlet(s) wide.
The 2001 Jeep Wrangler is 5 ft. 6.7 in. (66.7 in.)12V front power outlet(s) wide.