Cigna New Zealand | 6,814 followers on LinkedIn. Cigna Life Insurance New Zealand Ltd is now Chubb Life Insurance New Zealand Limited. For more information, visit https://www.chubb.com/nz-en/chubb-cigna-integration.html Cigna Life Insurance New Zealand Ltd has been operating right here, in New Zealand, for over a century and is one of the country’s leading insurers. Cigna looks out for the needs of more than 450,000 customers and is committed to looking after New Zealanders when they need us most.