The word "timesaving method" can be replaced with several other synonyms depending on the context. Some of the commonly used words include "efficiency technique," "shortcut," "streamlining method," "productivity tool," "optimized approach," "time-management strategy," and "resourceful process." Each of these words can effectively convey the idea of a method or technique that is designed to save time and effort. For instance, a person might use a shortcut to reach their destination faster, or they may incorporate a productivity tool to accomplish a task more efficiently. The common goal of all these synonyms is to help people make the most of their time while achieving their objectives.