This is not official at all, but in my own mind licks go ‘nowhere’ and runs go ‘somewhere’. I don’t enjoy licks. I’m in the minority, I know. Freebird is one of the most beloved solos of all time and I can’t stand it. It’s all ‘licks’ to me. Just a pattern of 3 or 4 notes, over and over again. Then it changes to some other pattern of 3 or 4 notes, over and over again. Now, the opening ‘theme’ in that solo I think is cool :-). And again, I’m not trying to offend. I think there is nothing wrong with enjoying that solo, and if anyone enjoys it, I am happy for them
Runs I think of more like a jazz line. It has a clear melodic contour. Jazz lines are always going ‘somewhere’. That’s why they are called lines! A line that goes nowhere is a…circle haha!
I hear the term ‘runs’ a lot in the context of bluegrass music (fiddle and guitar). Those are almost always melodies.
I think to many though, the terms are interchangeable. Just some ‘collection of notes’ that have a certain identity.