Assuming that there is no issue with the statute of limitations, you may have a valid albiet small claim. While the value of the claim may be low, if the facts demonstrate a clear deviation from the standard of care, the claim may be candidate for resolution short of litigation. You would be well advised to consult with a malpractice attorney before any more time passes.
I assume that the dental work was done here in the US when the file was left in your tooth. Your insurance company probably will not "go after the dentist" as there is no claim for them to make. Malpractice cases are very expensive and based upon what you are describing, unless you have some type permanent serious injury as a result of the file being left in your tooth, it would probably not be productive for an attorney to pursue such a case.
The above is just my opinion based upon the limited facts provided. It is not intended to be offered as legal advice nor is it intended to establish an attorney client relationship. You should seek a consultation either in person or over the phone to discuss any legal issue that you may have raised.
Depending on when you had this occur. There may be a statute of limitation on the claim and the cost of a medical malpractice case may exceed your recovery.
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It is very likely that the cost of the case would exceed the recovery, but you might as well google "dental malpractice lawyer" and get a consultation. We don't handle these, sorry.
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