I believe it would be a hyperbole because it says, "...the rain never stops" which is an exaggeration because it does stop. It would not be personification because nothing in this text is acting with human traits.
Hyperbole and personification are two different poetic devices. Personification refers to providing human qualities to inanimate objects, which is not the case in this example.
On the other hand, claiming that "the rain never stops" is a perfect example of and hyperbole, which refers to an exaggeration that is not meant to be taken literally, but to ad force to the sentence.