The phrase "study at trifle" is quite uncommon and may not have clear synonyms. However, there are several alternative ways to express the idea of studying in a casual or light-hearted manner. Some synonyms for the word "study" include "learn," "educate oneself," "read up on," "research," and "immerse oneself." To convey a sense of minimal effort or leisurely pace, one might use terms like "dabble in," "peruse," "skim," or "graze." Additionally, connecting the study with a hobby or interest may add a degree of enjoyment to the activity, as in "explore" or "investigate".