"Haddest at it" is a phrase that indicates an intense engagement in an activity or task. Some synonyms for this phrase include "going at it," "digging in," "throwing yourself into," "putting effort into," and "immersing yourself in." These phrases all convey a sense of commitment and dedication to a particular endeavor, whether it be a physical activity like exercise or a mental task like studying. "Haddest at it" specifically suggests a determined effort over an extended period of time, so synonyms like "taking on" or "tackling" may not fully capture the intensity implied by the original phrase.