The phrase "owe one" refers to being indebted or owing a favor to someone. A few synonyms for this phrase are "be in someone's debt," "be beholden to," or "owing a favor." Other similar phrases include "owe a debt of gratitude" or "owe a favor." These expressions all imply a sense of obligation or indebtedness to another person for something they have done for us. When we owe someone, it is important to acknowledge their kindness and repay the favor in a timely fashion. Using these synonyms can add variety to our language when conveying this sentiment.