There are numerous synonyms for the phrase "accustom to," which means to become familiar with or adjusted to something. Some common alternatives include get used to, become accustomed to, adapt to, become familiar with, and habituate to. Other possibilities include acclimate to, become inured to, grow into, attune to, and familiarize with. These synonyms can be used interchangeably depending on the context; however, some synonyms might be more appropriate in certain situations than others. Using synonyms can add variety and nuance to your writing and help you better convey your intended meaning.