an insurance compay may re-count a premium
Yes, exactly. And here's a nice tip: also YOU can claim a re-count during your period of insurance as your car looses value.
You can experience this always when your (insured) car got some dent or other damage and you claim your insurance. At first they never pay you the percentage of amount for which you insured stating that the car has lost it's value since then and you are not entitled to get it. Since insurance companies make use of this argument then their clients can too, but not many people think of it.