A friendship that feels awkward, especially after being dumped by your significant other.
Usually a friendship that you won't keep after being dumped by your girlfriend/boyfriend.
Guy 1: You got dumped by that hot chick you really like? Are you still friends with her?
Guy 2: Ehhhh, I am, but, it's real awkward. Now, she can have a relationship with any guy she wants, and not feel guilty about talking to me about it. I may as well dump her as a friend. What I have with her is an awkward friendship.