Eh... maybe.
I don't know anything about this show, but my impression is they're trying to spice up this exposition. "Remember that time we formed a bond during an event?" is really lazy (and boring) writing. Throwing in a nonsense line about rook to bishop 4 engages the viewer, making them think "what the hell does that mean? I wonder what the experience they're referencing was like" and so it's not as boring anymore.
Like adding extra frosting to a bad tasting cake
Just my impression though.
disclaimer: the pics have nothing to do with the dialog in question
http://transcripts.foreverdreaming.org/viewtopic.php?f=189&t=33919
Jessica: Harvey, my advice is to give a big piece of new business to the person least likely to let anything go.
Harvey: Louis.
J: Nine times outta ten.
H: I can't just manufacture that overnight.
J: Harvey, do you remember that time we poached Trotter Systems from Zane?
H: You gotta be $h1tting me. That was a prearranged deal? I worked my a$$ off to get Trotter.
J: You did. And you completely forgot that you were pissed at me about some bull$hit neither one of us can remember anymore.
H: Rook to bishop four.
J: Exactly.
Is there some famous deflection in a game with R-B4? Or did they just make it up to sound clever?