The phrase "having bite" is often used to describe something with a sharp or intense flavor, or something that is impactful or forceful. If you are in need of some synonyms for this phrase, some options include "having edge," "punchy," "spicy," "sharp," "potent," "forceful," "tangy," "zesty," "robust," and "powerful." Each of these words conveys a sense of intensity and impact, much like the original phrase "having bite." Synonyms can be a great way to add variety and interest to your writing, so consider incorporating some of these options into your vocabulary.