I noticed that every time I visited the farming page for the first time each day, the refresh timer on the food Tiny & Bigs want was always at exactly an hour. Testing it, I've found that the food does not actually refresh and start a new timer once the old one runs down. Waiting an hour simply means the food is now eligible to refresh, but it won't do it until you visit the page. Once you do load the page, you'll get a new food and a full 1 hour timer no matter how long it's actually been.
In other words, if you visit the page and see Food1 with 1 hour left, and then leave the site and come back 1.5 hours later, you will see Food2 with 1 hour left, rather than Food2 with 0.5 hours left.
I'm not actually sure if this is a bug or not, as it could be intentional with the thought being to make sure you have enough time to go cook the food after you first see it. But it doesn't seem to be consistent with how other timers on the site work, so I thought I'd point it out.