I read this short story at least 30 years ago, probably in a collection.
At the beginning of the story, some kind of "time machine" already exists. But it is not very efficient : it allows to look at a small area of the distant past as if through a spyglass, and sometimes to bring back objects.
Many laboratories have tried for a long time to understand better the science behind these "time machines" to improve their efficiency, got nowhere and finally gave up.
Only one solitary scientist is trying again and again both on the theoretical aspect, and at the same time trying to bring back whatever could help him to better understand the theory.
One day he happens to bring back from the Mesozoic a rock with a few roundish objects stuck to it : dinosaur eggs !
The eggs hatch and a few dinosaurs come out, males and females. Not big ones, fowl size. Birds are dinosaurs, after all, and those were not so very different from our birds, though definitely "mesozoic".
They breed, lay more eggs, and the scientist start raising quite a few of them, but his main interest is still improving the theory and use of the "time machines" but getting nowhere.
One day, one of the dinosaurs interferes with the "spyglass", destroying it while getting roasted in the process.
The smell of the roasted dinosaurs is delicious. The scientist and his family eat it and find it as good to the taste as to the smell.
He sells them to expensive restaurants and makes a fortune, since he has the only existing dinosaur herd.
But when he dies, though extremely rich, his deepest regret is that he has not managed to improve on the science of the "time machines".