(Verb) The act of giving dick on a frequent manner to a chick who is demanding something stable between both parties involved. Usually involves the woman asking for a serious commitment while the man only wants to fuck. The man just wants to show he's committed to sex.
Rachael: I feel we need to define and establish a stable relationship going forward! I'm tired of all the uncertainty, I need to know what you are willing to offer.
Dave: Frankly my dear, at this moment all I can offer you is some cockstability!