It is always a problem trying to work out what is happening from just words on the screen
So is what you are trying to say the belt is not moving at all and smoke is coming from the clutch itself .
If that is the case, try turning the clutch on with the engine off.
No smoke = clutch not on the engine properly
Smoke = electrical problem & clutch is most likely toasted
Does the wires to the clutch get hot ?
What did you take off to replace the belt ?
Some clutches are polarity sensitive and you can reverse the wires.
Does it only smoke with the engine running regardless of weather the clutch is turned on or not?
What does the smoke smell like ? , Plastic ? lacquer ? grease ?