If you've been involved in a hit-and-run accident, you might think that there's no way for you to recover your losses. If you have liability-only insurance on your car, that might be the case. But, if you have full coverage, including uninsured motorist coverage, you may be able to use your own insurance to cover your losses. You might not know this, but some states allow drivers to use their uninsured coverage for hit-and-run accidents.