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Longman Dictionary of Contemporary English
compassionate leave
noun
EXAMPLES FROM CORPUS
▪ After her return from compassionate leave following the death of her father, they had been prepared to rally round.
▪ And with a baby on the way there would surely be some compassionate leave for him soon.
▪ Edward was in the Western Desert, and because of the children he was given compassionate leave.
▪ He will be able to return on compassionate leave - particularly if it helps to focus his mind on the Test series.
▪ Joe and Eileen were given short compassionate leave and Stephen came home for the funeral.
▪ Trouble erupted on Friday night after a row about a prisoner's appeal for compassionate leave.
▪ Your request for compassionate leave is, of course, granted.
Wiktionary
compassionate leave

n. A period of absence from work taken by an employee due to a personal matter.

WordNet
compassionate leave

n. (military) leave granted in an emergency such as family sickness or death