Is it possibly the 2012 Frank Ocean song "Thinkin' 'Bout You"? It's not all that similar to your reference song, but the lyrics are a match, and the overall mood is similarly mellow and melancholy.
A tornado flew around my room before you came
Excuse the mess it made, it usually doesn't rain in
Southern California, much like Arizona
My eyes don't shed tears, but, boy, they bawl
When I'm thinkin' 'bout you (ooh, no, no, no)
I've been thinkin' 'bout you (you know, know, know)
I've been thinkin' 'bout you
Do you think about me still? Do ya, do ya?
London Beat had a big hit song back in 1990 called Thinking About You, but neither the lyrics nor the mood are as good a match.