In the Twelve Labors of Hercules, Hercules pursued the Ceryneian Hind for one year before capturing it.
The hind was a sacred deer associated with Artemis and was famous for its golden antlers and bronze hooves. Eurystheus ordered Hercules to bring it back alive, making the task one of restraint rather than slaughter.
Ancient accounts describe Hercules chasing the animal through distant northern lands. After a year, he finally caught it, often by wounding it lightly or trapping it as it crossed a stream. He then carried it back to Eurystheus.
The exact details vary between ancient sources, including whether Artemis confronted Hercules directly. The important traditional point is that the pursuit lasted a full year, while the deer itself had to be returned alive.