To give a reason against something which isn't the actual reason one is against it.
An example of excuse clouding is easily seen in terms of a fictitious conversation:
Jack: "Want to go to the movies?"
Jill: "I don't have any money." (When in reality she just doesn't want to go see that movie).
Jack: "I'll pay for you."
Jill: Some other argument other than just saying she doesn't want to see that movie.