"for diversion" is a correct phrase and can be used in written English.
It means "for entertainment or amusement." Example: She went to the park for diversion after a long and tiring day at work.
These are troubled times when people yearn for diversion.
For diversion, he raises fighting cocks and feeds some of the feral dogs.
For diversion, Mr. Nivola made small terra-cotta plaques of swimmers and sunbathers.
"They both exclude broad categories of drug offenders from ever being considered for diversion to treatment".
New York has not lacked for diversion even after the Yankees finished their epic World Series.
Members of both groups are often seen aloft, apparently not feeding but flying for diversion.
We hope for diversion, and usually get it, but we so rarely get anything more.
Ackerman, as is minutely revealed in his papers, continually looked for diversion, political or otherwise.
Penn is thoughtful and convincing about the American entertainment industry's amazing talent for diversion and denial.
An effect of eliminating the tax is the potential for diversion of large amounts of estate funds from charitable foundations.
They were working 12-hour days, and we should have made sure they took lunch breaks and time for diversion.
