I think you're conflating two things typically found on a job application: work history, and references. Work history is just that, a history of where you worked and when and what you did there. You absolutely need to include your old job here, regardless of the reason you left. And you'll need to be prepared to explain in an interview why you left in a way that doesn't make you look bad. Was there a reason you were frequently late? Explain the reason and why it won't be an issue in the future, even if that reason is "I didn't prioritize work over other pursuits and thus was not on time. But I've learned that punctuality is important and don't intend on repeating the mistake." Or something like that. References are people you've worked with in the past who can attest to your work ethic, quality of work, demeanor, etc. These don't have to be old bosses (though it's good to have some), but can also include past co-workers. You'll want people with whom you remain on good terms and thus who will be willing to give a positive reference. ALWAYS ask people before listing them as references. Hope that helps.