While doing some tests on a frinds' website, I've modified the internal Osclass hourly cron to run every minute and the Epsilon theme's function to do the same - osc_add_hook('cron_hourly', 'eps_manage_day_offer');
In the theme configuration, I've enabled the Offer of the Day, without selecting any item (let it run randomly).
Now, I noticed that the item doesn't change, even if the cron runs properly.
Based on my setup, every minute I should have a new Offer of the Day selected from the existing premium items.
For me, the item stays the same forever.
Can you please check on your side?
Thanks!