Safeguarding Schoolchildren of Deployed Soldiers Act of 2005 - Amends the Servicemembers Civil Relief Act to require a State or local educational agency, for the duration of the military service on which a child's change of residence is based and at the request of a parent, to treat a child who changes residence based on the qualifying service of one or both of the child's parents as if the child has the residence held before the change of residence, for purposes of enrollment in elementary or secondary school. Defines "qualifying military service" to mean military service to which a member of a reserve component of the uniformed services is ordered that includes a period of deployment to a location outside the United States.