Caregiver Financial Relief Act of 2008 - Amends the Internal Revenue Code to: (1) allow caregivers of family members with long-term care needs a refundable tax credit of $3,000 for up to two such family members each year through 2010; (2) allow in 2009 and 2010 the tax credit for dependent care expenses for parents (or ancestors of such parents) who do not reside with the taxpayer; and (3) allow in 2009 and 2010 an increased exclusion from gross income for employer-provided dependent care assistance.