Follow after is a phrase that can signify a wide array of meanings. It often means to pursue someone or something or to come after or go after. There are several synonyms for the phrase follow after, including track down, chase, pursue, pursue after, tail, trail, shadow, and hound. These alternatives can be used depending on the context, intent, and level of intensity required. They are suitable for different scenarios, ranging from investigative work to romantic pursuits, and even in sporting events. Whatever the context, using synonyms like these can help to add variety and depth to your writing or speech.