A child born in Cayman acquires BOTC at birth when a parent is a BOTC or is settled in the territory, subject to the British Nationality Act and date-specific rules.
Sources: British Nationality Act 1981
British Overseas Territories citizenship connected to Cayman can pass to a child born abroad under the British Nationality Act’s descent and registration rules.
Sources: British Nationality Act 1981
An adult can apply to naturalize as a BOTC connected to Cayman under the British Nationality Act after the statutory residence period; Caymanian status is a separate immigration status.
Sources: British Nationality Act 1981 · Cayman Islands Government — BOTC registration and naturalisation · Cayman Islands Government — Immigration reform