PAY MORE ATTENTION!
I already answered this earlier today - this is what I said...
Yes - throw the lighter element in the bin and buy a replacement - it will be the bit that gets hot causing your problem - the holder will have nothing to do with it.
As a test - take your lighter to a friend's car and blow their fuse.
In the UK Amazon will sell you one for under £3
And I bet you don't offer up any thanks..., February 2015
