Confirm it with the Nebraska DMV rather than assuming. The DMV counts most requirements from a date it sets, such as the reinstatement eligibility date, and the safe move is to keep the policy until the state confirms the obligation is closed.
More detail
The most avoidable mistake at the end of this process is cancelling early. A driver counts three years from the violation date, decides the period is up, and cancels. But after a revocation the DMV counts from the date of eligibility for reinstatement, which comes after the revocation itself ends, so the obligation is usually still running and the insurer reports the cancellation to the DMV. That brings a new suspension at the moment the driver believed they were finished. If there was a lapse earlier in the period, ask the DMV how it affected your record rather than guessing. Two safeguards: ask the DMV directly to confirm the obligation is satisfied before changing anything, and tell your producer the confirmation date rather than asking them to guess. Once the obligation is genuinely closed, removing the filing is also the moment to re-shop the policy, because the record is now cleaner than it was.