"going on leave" is correct and usable in written English. You could use it when referring to a period of time that someone is away from their job or school, for example: "My colleague will be going on leave for two weeks".
Ms. Obama's income from the University of Chicago Hospitals, where she was a top administrator until going on leave, more than doubled when Mr. Obama was elected to the Senate in 2004.
ISLAMABAD, Pakistan Pakistanan has begun moving some troops away from its western border with Afghanistan and has stopped soldiers from going on leave amid rising tensions with India, Pakistani officials said Friday.
Suh, a mechanical engineer, has racked up some solid accomplishments since going on leave from the Massachusetts Institute of Technology in 2006 to head KAIST.
In May they were relieved from these duties and returned to camp near Maitland, before going on leave prior to deployment overseas.
"None of the players know what's going on," left tackle Jumbo Elliott said yesterday.
I had moms posting on Facebook "What's going on," leaving the pool because they didn't feel safe.
You describe how most of the top officers went on leave after the indictments.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com