Here's my remedial understanding of how it works. Please correct me where I'm wrong because I'd like to better understand it myself.
The viscous coupling contains a temperature sensitive fluid/oil. When the truck sits that fluid pools on bottom of an inner ring. Because the fluid is pooled the weight distribution is on one side which causes the fan to spin when first started. It spins until that fluid is evenly distributed throughout the inner ring, at which point the fan stops spinning. This part has nothing to do with temperature or being "warmed up", I think.
As the temperature inside the engine bay climbs the fluid warms and thins out. As it does this it works its way to an outer ring. Once there centrifugal force causes the fan to spin. The fan spins until the engine bay temperature drops enough for the fluid to cool and return to the inner ring of the coupler and the fan stops spinning.
What say Ye?