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iTunes doesn’t seem to suffer the same issue the Music app does, where it claims to be playing one song but, in fact, plays another. iTunes does, however, on rare occasion, experience the other problem: It skips past a cloud-stored song you request and plays a different song.
This issue only crops up on iTunes when you stream music from iTunes Match, not when you play locally stored files.
If you encounter it, try double-clicking the song a few more times to see if it starts playing properly. Alternatively, you can click a different song, and then try right- or Control-clicking the song you want to hear and choose Download from the contextual menu that appears. If that doesn’t work, restart the iTunes application.