When it comes to employment, being eligible for reappointment means that you are qualified for another term in your position. There are various synonyms that can be used to describe the eligibility for reappointment, including capable of being reappointed, suitable for another term, qualified for reappointment, deserving of a renewal, and worthy of continued service. Additionally, some other synonyms could include admissible for another term, apt for a new tenure, and eligible for a repeated appointment. These synonyms all suggest that an individual has met the necessary criteria for reappointment and has demonstrated value in their current position, making them a strong candidate for continued service.