Final answer:
The phrase 'dogs go on their doggy life' is an example of personification, attributing human characteristics to non-human entities, specifically dogs in this case.
Step-by-step explanation:
An example of figurative language in the phrase 'dogs go on their doggy life' would be personification. Personification is a form of figurative language where human qualities are given to animals, objects, or ideas.
In the given phrase, dogs are said to have a 'doggy life', which suggests they live life as humans do, attributing a human characteristic to dogs. This phrase does not make a direct comparison like a simile or a metaphor would, nor does it exaggerate to the extent of hyperbole. Therefore, the correct answer is personification.