The term 'Gotten Going' can be broken down into two words, 'Gotten' and 'Going'. The crossword solution for 'Gotten' is 'BEGUN' which means to have started or initiated something. Therefore, the phrase 'Gotten Going' can be interpreted as having started something and continuing with it. This phrase is often used to describe the process of starting a task or project and then continuing to work on it until it is completed.