나 깨다

asleep or awake, meaning always

자나 깨나 is a fixed pair — asleep or awake — and it means constantly, of something you never stop thinking about. Every line here uses it that way: always thinking of the members, always worrying about the country, always worrying about one's children. 자나 깨나 불조심, a famous fire-safety slogan built on it, appears here too.

Register: set phrase, slightly proverbial