Well, if you are singing a Country-Western song, they would speak the poetry of the song.
However, in normal conversation, one would more likely say, "I had insomnia all night."
This means that 'If you are unfaithful to someone it will show in your demeanor and they will know.
Having been unfaithful, your conscience will keep you awake at night, therefore you will be constantly rolling over in bed, trying to get back to sleep.
This means that you will not be able to sleep, so you will get out of bed and pace back and forth, worrying the problem in your mind.
Pine in this instance means 'longing', "Your cheatin' heart will long for me some day."
Or said another way, "You will one day, wish I were still with you."
Song lyrics are more closely akin to poetry than to normal prose. Songs are rife with Idioms and poetic imagery.
"S'cuse me, while I kiss the sky." - Jimi Hendricks