A "morality clause" is a clause that is placed in a divorce decree which states (as a court order) what a divorced parent is or is not allowed to do around the minor children.  Typically, the clause will state that the parent is not allowed to have an adult of the opposite sex (or the same sex in certain circumcustances) who is unrelated by blood or marriage to spend the night.

Here is a video of our divorce and custody attorney Sio Ramirez Pitre as she is interviewed by Houston relationship therapist Gina Gheller regarding divorce and custody. Part I    http://exm.nr/wLloId