The OEM dual mass flywheel includes what is essentially a vibration damping component between two different masses, hence the name, dual mass. Because part of the assembly actually flexes, it also wears out (when it flexes too much). Thus, it is common to replace the DMFW when the clutch is replaced.
The alternative is a common flywheel or what is more commonly called a light weight flywheel (LWFW) which is a standard aluminum flywheel. Because it does not contain the flexible damping material and the other mass, it weighs substantially less and thus, the engine will rev a bit quicker. The downside is that there is concern that the LWFW can result in engine failure due to undamped crankshaft vibrations.
Do a search on LWFW and you'll find the threads where this has been discussed with quite a bit of passion previously.