The fan clutch bolts to the water pump. The water pump is round and thus on the centerline of the fan. It has a small "weep hole" (usually at the bottom) that is intended to let you see when the internal seal is leaking. You usually see white limey deposits if a leak, depending on what coolant you use.

More likely, you are looking at the "thermostat housing", to which the large "lower radiator hose" attaches. Coolant hoses should be replaced whenever they show surface cracks or other aging. If yours is a 1980's car (always tell us, please), then you probably shouldn't still be using the original coolant hoses. To replace the large, short "bypass hose" on the bottom is bad, it is easiest to remove the T-stat housing, and you will need a new gasket. I bought 16 mmID silicone hose for that since I want it to last.

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1984 & 1985 CA 300D's
1964 & 65 Mopar's - Valiant, Dart, Newport
1996 & 2002 Chrysler minivans