Propeller Weight

There is no weight limit but there are Moment of Inertia (M of I) limits.
The Prop acts like a flywheel to smooth out the engine.
It can also be too small, but not likely.

912 Installation Manual, Chapter 61-00-00 Page 4, 

System Limitations
   Moment of Inertia
      ... between1500 kg cm^2 (3.5 lb ft^2) and 6000 kg cm^2 (14.2 lb ft^2).

The M of I of your prop will be specified by the manufacturer.

So, a Smaller Heavy prop might be OK, whereas a Larger, Lighter one might not.

I have reviewed my propeller specifications - claimed Moment of Inertia ~0.5kgm^2

Sean, 

0.5 kg.cm^2? My Whirlwind GA RW3B is 4150 kg.cm^2

You guys are working in different units.  Sean stated his prop MOI in kg/m^2, whereas Jim is stating in kg/cm^2.  The conversion is 1 kg/m^2 = 10,000 kg/cm^2.  So at .5 kg/m^2, Sean’s propeller is 5000 kg/cm^2.  He is good to go.