Name of dancehall/Reggae song with lyrics "sing another song for me come on baby sing another song for me".

I have been searching for the artist and title of this song ever since I heard it in the mid-80's, but have not had any luck. Pleae help me. Thx!

Your lyrics aren't exactly the same, but I think you might be referring to a song by Big Youth on the album titled "A Luta Continua". The date fits, so I'm pretty sure this is what you're looking for. Track 2, try it out. :)