Clean Renewable Energy Investment Act of 2010 - Amends the Internal Revenue Code, with respect to tax-exempt new clean renewable energy bonds, to: (1) repeal the national limitation amount for such bonds; (2) allow such unlimited bonds to be issued until January 1, 2014; (3) eliminate the eligibility of governmental bodies for new clean renewable energy bond financing; (4) designate a tribal utility as a clean renewable energy bond lender; and (5) provide that any reimbursements with the proceeds of new clean renewable energy bonds are subject to reimbursement rules applicable to all tax-exempt bonds.