"Is the up and up" is an idiom that means to be honest or trustworthy. There are a few different synonyms for this phrase, including "aboveboard," "legitimate," and "reputable." These synonyms all refer to something that is honest, trustworthy, and genuine. Other synonyms for "is the up and up" might include "authentic," "sincere," and "veracious." When describing a person or company that is trustworthy and honest, adjectives such as "honorable," "credible," and "integrity" could also be used. Regardless of the specific synonym used, all of these phrases convey a sense of trustworthiness and honesty.