First thing I would suspect is loose connections especially the neutral. Next thing to check to see if there is any current flowing in the bonding connections from the water line and ground rods.

Does the furnace run on its own dedicated line? Is it grounded?

Does the stove run on its own dedicated line? Is it grounded?

Does the Dryer run on its own dedicated line? Is it grounded?

Do you sense a pattern here? smile

When you hear "clipping", is that a click or pop when the offending device switches on or off?

Larry C