If the claim is still not resolved it will be down as a fault claim until it is sorted. Once it is you will get a refund on the extra insurance you are paying as a result of this 'claim' showing on your record.
LV were excellent with me for a non fault (7 weeks from accident to excess refund) and as Jes says my renewal was no more as a result of having a no fault claim on my record - I also did two quotes one with and one without the accident.
Keep chasing your company to get the thing settled - don't be afraid of going legal if the Council are dragging their heels.
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