Moment by moment; as time passes, continually changing or progressing (used as an adverb).
刻々に変わる状況を見て、指揮官は命令を再検討した。
Seeing the situation change moment by moment, the commander reconsidered his orders.
病状は刻々に悪化しているため、医師が付き添っている。
Because the patient's condition is worsening by the minute, a doctor is staying with them.
株価は刻々に変動するので注意が必要だ。
Stock prices fluctuate moment by moment, so caution is necessary.
刻々に迫る締め切りに追われ、彼女は焦っていた。
Pursued by the ever-approaching deadline, she was getting anxious.