Definition of exeats:
(n) :
A license or permit for absence from a university or a religious house (such as a monastery).
(n) :
(dated, UK, Australia, New Zealand, South Africa) Leave of absence from a public school or college.
(n) :
A permission which a bishop grants to a priest to go out of his diocese.
(n) :
(obsolete, theater) A stage direction to leave the stage.