The phrase "most reappointed" is used to describe someone who has been appointed to a position or job multiple times. There are several synonyms that can be used to convey the same meaning. These include "most recurred," "most re-elected," "most rehired," "most reinstated," and "most re-engaged." All of these synonyms describe someone who has been chosen for a position or job more than once due to their qualifications and performance. The use of these synonyms can add variety to the language and help convey ideas more clearly and concisely.