The term "under hint" refers to something that is suggested or implied, but not explicitly stated. Synonyms for this phrase include insinuation, implication, allusion, suggestion, inference, and innuendo. These words all describe the act of hinting at something without directly stating it. Insinuation often implies a negative connotation, while implication and suggestion are more neutral. Allusion and inference both involve referencing something indirectly, while innuendo refers to more suggestive hints that may have a hidden meaning. Overall, these synonyms provide a range of options for describing the act of hinting at something without stating it outright.