1. present participle of narcotise; administering a narcotic drug to someone in order to make them sleep or unconscious
Usage: British spelling; American equivalent is 'narcotizing'; medical/pharmaceutical context
2. causing someone to become drowsy, dull, or insensitive; having a numbing or dulling effect
Usage: figurative use

Examples

• The anesthesiologist was narcotising the patient before surgery.
• The medication had a narcotising effect on his nervous system.
• Repetitive tasks can have a narcotising influence on the mind.
• The doctor considered narcotising the anxious patient with a mild sedative.
• The monotonous lecture was narcotising the entire class.