Yeah, they can wear out eventually. Any sort of catastrophic failure is highly unlikely, but annoying chatters and whatnot can become apparent.
The springs can break (uncommon), and be subject to losing some stiffnes. Other internal components can be subject to deformation/bearing failures over time leading to this. So yeah, they can wear out so to speak, but the car should still be driveable. Shifting might be rough and clunky, but that's about it. That's about the extent of my dual-mass flywheel knowledge.