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You could replace the lighter with a new one and if that doesnt work then its a fuse or the heating element is shot and you have to replace the whole unit.
If you have a test light, insert the red into the center of the lighter receptacle and the black end on the out side of the receptacle, with the key on, to see if you have power. Make sure the wires going to the receptacle have power first. If your test light shows nothing then you'll need a new receptacle.
You can get one for free in a junk yard," nudge-nudge-wink-wink "