Just lost power to lighter -

It might be the fuse that is in the plug on your car heater. you should be able to unscrew the plastic flange at the tip of the plug - you can then separate the 2 halves of the plug - watch out for the spring. The fuse is a glass tube type around 1 watt capacity - probably the heating device draws more than that.
The only other thing I could think of is that there's some kind of fusible link in the wiring of the lighter socket.
Good luck!

m6 fuse - power outlet and cigar lighter
using jeep terminology !
The Totally Integrated Power Module TIPM is located in the engine bay near the battery .
page 436 of
http://cdn.dealereprocess.com/cdn/servicemanuals/jeep/2008-liberty.pdf

you may find a 12v voltage probe that lights up when 12V touched would be helpful in checking the fuses are all ok .

This one's the fusebox in the interior of the car; usually below the steering wheel in a panel with a thumbscrew that you just give a quarter-turn, then catch it as it opens; inside are some fuses, which tend to be obvious when they are blown. There's a little legend that tends to be well-lit too, indicating which fuses were for the ligher/'auxillary 12v power' socket. Don't let a failed lighter bust on you; a flaming car is much more expensive than tossing/replacing the bad part or plugging something else in.

If you need further help, I’m available over the phone at https://www.6ya.com/expert/richard_b59056c0c62ecb00

check out the fuse panel mounted under the dash

I think it has another fuse other than cigar lighter. Accessories, maybe? Not sure how many fuse boxes that car has. But on my bosses truck it was a circuit breaker fuse under the hood. That blew. So I would look for something like that. Or a fuse box on passenger side. I hope this helps. But to answer your question, it isnt hard to get to. Most everything on cars snap on. There may be a screw or two somewhere holding it. But it snaps off straight. Be easy and slow work it a little at a time. So it wont break.

Hope this helps.

they have thare own fuse

THE FUSE BLOCK IS EITHER LOCATED UNDER THE DASH ON THE DRIVERS SIDE OR IN THE DRIVERS SIDE ENGINE COMPARTMENT. IT WILL BE MARKED HEATER.

Check fuse 55 in the eng. comp. and check the power fuse "alt pwr" 20A in the driver's side fuse panel on side of dash.
I melted my right side power plug with a portable compressor and blew the fuse in the dash panel. I need to get a new power plug now.

Look straight up under dash, access panel on front of dash, in glove box or could be under the hood in a box.

The front lighter is powered by fuse 24 in the interior fuse panel and the console power points are fuse 7 and 9 in the battery junction box under hood.
If you have a 12V test lamp you can check the socket for power and check the wire to the socket.The socket may be bad.