"Study at wait" is a common phrase used to describe a situation where one must wait for something to happen while studying or preparing for it. However, there are many possible synonyms that can accurately convey this same idea. For example, one could say they are "preparing for a future event," "researching for an upcoming opportunity," or "studying in anticipation of an important event." Other possible synonyms include "training for a specific purpose," "reviewing for a forthcoming exam," or "focusing on a pending task." Ultimately, the most effective synonym will depend on the specific context in which it is being used.