Yes, you CAN link all three hands to the one slider:
Create a null called controller_null with an angle control on it.
On your hour hand’s rotation, put:
thisComp.layer("controller_null").effect("Angle Control")("Angle")
On your minute hand’s rotation, put:
thisComp.layer("hour hand 2").transform.rotation*12
On your second hand’s rotation, put:
thisComp.layer("minute hand").transform.rotation*60
Keyframe the angle control from (for example) 0 to 1 to get a 12 hour animation.
– Paul