Normal automatic transmission clutches are designed to lock after the shift is completed.
In a CVT its is constant motion, sliding up and down the pulleys while being clamped, so there is constant slippage between the belt and the pulley sides. Or if its the toroid type then the wheels are slipping up and down the sides under pressure. There is no positive drive, it is open to slippage radially as well under heavy load conditions, it is not like a cogged timing belt or a gear set, so yes there is constant slippage.