Definition of "lovesick"

And she looked to Mr. –––– / And leered like a love-sick pigeon.

1834 , Samuel Taylor Coleridge, Robert Southey, “The Devil's Thoughts”, in The Poetical Works of S. T. Coleridge, volume II, London: W. Pickering, page 86

I'm sick of love / I hear the clock tick / This kind of love / I'm lovesick

1997, Bob Dylan (lyrics and music), “Love Sick”, in Time Out of Mind