(Measure passed House, amended) Tohono O'odham Tat Momolikot Dam Settlement Act - Requires the Secretary of the Treasury, if the Tohono O'odham Nation (the Tribe) executes a waiver of claims against the United States with regard to the construction of the Tat Momolikot Dam, to pay the authorized governing body of the Tribe the sum of $6,000,000 for the benefit of the Tribe. Requires the Tribe to invest such sums in interest-bearing deposits and securities. Allows the governing body of the Tribe to spend the principal, interest, and dividends for economic and community development of the Tribe. Requires $100,000 to be paid the heads of households residing and owning improvements at the Tat Momoli village in 1969 or their heirs. Provides that the Secretary of the Interior shall not be responsible for the review, approval, or audit of the use and expenditure of such sums, nor shall he be liable for claims that arise from such use and expenditure by such Tribe. Authorizes appropriations. Conditions the Secretary of the Interior's obligation to carry out functions under this Act upon tribal waiver of certain claims against the United States and the grant of appropriate rights with respect to the construction of the Tat Momolikot Dam. Requires the Secretary, within two years after the enactment of this Act, to construct fences and cattleguards in the vicinity of the Tat Momolikot Dam.