Well, Loki became the God of Stories due to his constant scheming and the tales that emerged from his various adventures and interactions. His ability to twist and shape events led to this title. Also, his penchant for deception and creating chaos made his exploits worthy of being told as stories.
In most comic storylines, Loki is not associated with being the God of Time. Instead, he's known for his complex and often devious nature, using his wits and magical abilities for his own ends.
In the comics, Loki isn't specifically the God of Time. His powers and roles are more focused on causing trouble and manipulating events rather than having control over time.