No, a former spouse is not entitled to keep their military ID card after a divorce, unless they meet certain criteria. Generally, military ID cards are issued to dependents of active duty service members and are only valid for the duration of the marriage. After a divorce, the former spouse is no longer considered a dependent and is not entitled to retain the military ID card. However, under certain circumstances, such as if the former spouse is eligible for medical benefits under the Continued Health Care Benefit Program, they may be able to retain their military ID card for a limited time.