The phrase "stuck lip out" can be described using a variety of synonyms depending on the specific context. One possible alternative is "pout," which refers to a facial expression indicating disappointment or sulkiness. Other options may include "grimace," "scowl," or "frown." Each of these words conveys a similar meaning to "stuck lip out," indicating that the individual is unhappy or dissatisfied with a situation. Ultimately, the choice of synonym will depend on the tone and context of the sentence, but any of these words would be appropriate when expressing the displeasure of "sticking a lip out".