A relationship with someone that's open. You're not really with them, but you flirt a lot and kinda like eachother.
To have a flirtationship, you dont have to be single and it can range from anywhere to harmless to "I wanna get in your pants"...and could even lead to a relationship.
I talk to Corey every night. We flirt ALL the time and its obvious we like eachother but he lives in Pittsburgh, I live in Buffalo, so we only have a flirtationship.
Girl A: Do you think Josh would get mad if he found out about my flirtationship with Matt?
Girl B: Definitely!!! Matt totally wants to get in your pants!