Several games have attempted the Groundhog Day format, to varying degrees of success.  What tends to be the biggest stumbling block is also what makes the premise so interesting: you’re repeating the same day over and over.  From a narrative perspective, this allows the story to focus on the same events from different points of view, or see how minor changes can impact the final outcome.  However, it’s a lot harder to incorporate those subtle variations into gameplay, meaning that it’s easy to find yourself going through the same actions ad nauseum, simply to get from one story beat to another.