Gotten going is a phrase that means to begin or start something. However, there are numerous synonyms for this phrase that can be used to add variety to your language. Some examples include: commence, initiate, launch, kick off, start up, fire up, set in motion, inaugurate, open, spark, and activate. Each of these synonyms carries a slightly different connotation, so it's important to choose the word that best fits the situation. By using synonyms for gotten going, you can elevate your writing and communication skills, and gain more control over the impression you make on others.