Final answer:
The phrase 'mocked to death by time' uses personification by attributing the human action of mocking to time. It also includes hyperbole through the exaggerated concept of being 'mocked to death'.
Step-by-step explanation:
The literary device being used in the phrase "mocked to death by time" is personification. Personification is a figure of speech where human qualities are given to animals, objects, or ideas. In this instance, time is being personified by suggesting that it has the ability to mock someone or something. Additionally, this phrase uses hyperbole, which is an exaggeration for the sake of emphasis. The concept of being 'mocked to death' is an overstatement that intensifies the influence of time on the subject being described.