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There is no small list of songs that include "pour" either in the title or the lyrics: poring rain, pouring out my heart, pouring liquid or other.
Of course, as a child, you likely learned: It's raining, it's pouring ... the old man is snoring.
Jose Feliciano's Rain make the most of it.
But - keeping in mind that pouring has multiple connotations ... here's a couple more:
it's the sax player that is pouring it out here ...