"Gotten stuck in" refers to being in a difficult situation or getting trapped while doing something. There are many words that can be used as synonyms for this phrase, including "trapped," "mired," "immersed," "caught," and "entangled." These words imply that someone is unable to move forward or is experiencing some form of obstruction. Other synonyms include "ensnared," "entangled," "snagged," "stymied," and "snares." All of these words convey a sense of being caught or held back, emphasizing the difficulty of the situation. Whether you are writing fiction or non-fiction, these synonyms can help you to add depth and nuance to your description of an individual's predicament.