The word "study" has several synonyms that can be used in different contexts. To study means to learn about a particular subject or topic in a systematic manner. The synonyms for study include learning, researching, exploring, examining, analyzing, and investigating.
On the other hand, "punish" means to impose a penalty or consequence for an offense committed. The synonyms for punish include penalize, discipline, rebuke, reprimand, reprove, and chastise.
Therefore, when combined, the synonyms for "study at punish" can vary based on the specific meaning conveyed. For example, one can study criminal justice to understand the laws and punishments for various offenses. Alternatively, one can punish a child for not studying by imposing a penalty or discipline.