I had to put up with increased premiums for 5 years because some old duffer ran into the back of my car whilst in a queue - we'd only been sat in it for about 45mins up to then so clearly he didn't have time to see me...
When I challenged the increases, every company said it was because having had that accident now made me more of a risk of it happening again. None could explain how that made any sense whatsoever, but it added at least £200 to my premiums over the 5 years, which I feel there should be some way to recover from the at fault party. It was additional costs I incurred as a direct result of the collision so why was I left carrying the can?