Turn the large nut loose (1 7/16") by turning it counterclockwise then spin the fan and fan clutch off as an assembly. Separate the fan from the clutch on the bench.
The fan clutch on a 1997 S10 has a bolt on the center of the front. Remove the bolt while holding the clutch still. There is a special tool to grab the clutch fan from the rear to hold it while removing the bolt.
Usually there are 4 nuts holding the clutch and fan on to the water pump shaft. Just pull the nuts, remove the fan clutch and replace it.
Remove the transmission. Remove the clutch plate and springs. Remove the clutch. Reverse the process to install the new clutch.
A bad fan clutch, low on coolant, missing fan shroud, bad thermostat or a plugged up radiator.
That would be a clutch fan hub and bearing assembly.
you need to remove the transmission then unbolt the clutch from the flywheel.
The fan clutch and pulley are attached to it.
There is no cable, it is hydraulic operated.
You need a special tool to remove and replace the clutch. Your local auto parts store can sell or maybe rent you the tool.
You will need to remove the transmission to replace the clutch slave.
It is 1 7/16" but a 1 1/2" will work also.
To give yourself some elbow room, remove the fan/clutch assembly along with the fan shroud. Note, the water pump is not behind the fan pulley as you would normally expect. Remove the accessory belt. Remove the water pump pulley. Drain off the radiator coolant into a clean container. Remove the water pump. Install in reverse order.