The phrase "each time after" is correct and usable in written English.
It is used to indicate that something happens repeatedly after a certain event. Example: I take a walk each time after I finish eating dinner.
I would cry reading their letters, I wanted to die each time after reading them.
Two of them resulted in injuries to Nunes, who returned each time after missing a play.
Each time, after taking his half step forward, Taub stepped back.
Yet each time after the boy left there was mockery in the music that faintly lingered.
Ponce said that the girl made "six or seven requests," and was rebuffed each time; after about fifteen minutes, the girl "smelled of urine".
"Each time after an arrest on the bus system, organizations in Montgomery discussed whether this was the case around which to launch a campaign," she writes.
We know about hand washing but we don't have enough water in the school to encourage them to wash hands each time after they defecate," she says.
8 with patella tendinitis in his right knee, has been listed as a second baseman and has left each time after batting in the top of the first.
He suffered heart attacks in 2007 and 2012, returning to Jeopardy! each time after taking about a month off to recover.
And because memories get stronger the more you retrieve them, you should wait exponentially longer each time – after a few minutes, then a few hours, then a day, then a few days.
He has fallen ill twice -- each time after losing a sharp courtroom duel with an important Western official, most recently two weeks ago with Gen. Klaus Naumann of Germany.
