Dual mounting head scanner system measures the thickness of a flexible continuous moving web such as paper by employing an optical senor positioned in the upper head to determine the distance between the optical sensor and the upper surface of the paper while a displacement sensor positioned in the lower head determines the distance between the displacement sensor, which includes an RF coil, and a reference surface on the upper head. An air clamp and vacuum source assembly on the operative surface of the lower head maintains the moving web in physical contact with a measurement surface that is incorporated in the operative surface. The optical sensor directs incident radiation onto the web at the measurement surface. Thermal isolation of the two sensors eliminates thermal interactions.