This is the moment after masturbating, you go outside to smoke a cigarette or something else without washing your hands and someone usually a friend approaches you wanting to give you a hand shake. The sticky moment is the dilemma between shaking his hand or choosing not too. A sticky moment can lead to the sticky shake
Friend1: What's up homey? (attempts to shake hands)
Friend2: Nah dog, you almost ended up on the wrong end of a sticky moment.
Friend1: Wash your hands you bastard!