The term 'ONE HEEDING THE ALARM CLOCK' can be summarized as a person who is rising in response to an alarm clock. The crossword solution for this term is 'RISER', which is a five-letter word. A RISER is someone who is getting up from a lying or sitting position, typically in response to an alarm clock. This term is often used to describe someone who is waking up early in the morning to start their day.