When describing something that flows sweetly, there are a number of synonyms that can be used. Some alternatives to "sweet-flowing" might include "honeyed," which connotes a gentle, languid movement akin to the slow pouring of honey from a pot. Other options might include "melodic," which suggests a pleasing, musical quality to the flow, or "mellifluous," which carries a similar sense of smoothness and grace. Other possible synonyms for "sweet-flowing" might include "soothing," "graceful," or "rhythmic," depending on the context and the specific meaning that one is trying to convey. Ultimately, the choice of synonym will depend on the writer's intent and the overall tone of the piece.