We do not recommend you run PHP without web server timeouts on web requests but instead if you need a long running PHP process you run it from a cron job or from SSH if it's a one time operation. There however may be cases such as Wordpress plugins where it must be ran by visiting a URI. You can disable web server PHP timeouts by doing the following:
To disable all timeouts you can add the following to your .htaccess file:
<IfModule Litespeed> SetEnv noabort 1 </IfModule>
If you wish to only have no timeouts for certain requests such as for example wp-cron, backupbuddy or importbuddy you could use the following:
RewriteEngine On RewriteRule (wp-cron|backupbuddy|importbuddy)\.php - [E=noabort:1]
Keep in mind you may also need to modify the PHP max_execution time if your application does not modify this for you.