To dream that you hear an alarm clock in your dream could simply be heard the ringing of an actual alarm clock. This is very common dream for everyone. If you dream that your alarm clock went off and you over slept some important meeting, means that you are being afraid to oversleep and miss important things in your life.
Dream dictionary: Alarm clock dream meanings
(Timepiece) Seeing an alarm clock in a dream means exposing ills, richness of a poor person, or fulfilling a promise. (Also see Clock)
…(Timepiece | Watch) A clock in a dream represents money equal to the time setting when seen in one’s dream. An alarm clock in a dream means exposing ills, richness of a poor person and fulfilling a promise….
The dream in which you are looking at the clock may mean that you are afraid of oversleeping your morning. You are afraid of getting up too late. Perhaps you have too much stress. Please also see the meaning of alarm clock.
…unfavourable or rather repulsive countenances and demeanour of the two women, precluded all hopes of renewed sleep; and it being the summer season, he rose about four o’clock in the morning, took his hat, and resolved to quit a house of such alarm and terror. To his surprise, as he was leaving it, he met the mistress in the entry, dressed as if she had never gone to bed. She seemed to be much agitated, and enquired his reason for wishing to go out so early in the morning. He hesitated a moment with increased alarm, and then told her that he expected a friend, who was to arrive by a stage coach in Bishops gate Street, and that he was going to meet him. He was suffered to go out of the house, and when revived by the open air he felt, as he afterwards declared, as if relieved…