Four short lines, and nobody gets what they want. The speaker longs for someone who is busy longing for somebody else. Then the poem pushes the chain one step further: that third person turns the second one down, again because their heart is set on yet another person. Wanting simply passes from one to the next, and none of it lands.
The speaker sounds quietly resigned. There is no anger and no dramatic pleading, just a flat, almost matter-of-fact tone, as if this is how things are. The repeated phrase "longing for someone else" makes the pattern feel endless, like a line of people all facing the wrong way.
The title, "Fallen angel," and the bracketed word "Chase" hint at how to read it. The poem seems to treat love as a pursuit where everyone is both chaser and chased, and where being wanted never matches wanting. The mood is wistful, a little ironic, and lonely, though the speaker is clearly not alone in it.