In my experience it basically comes down to who dictates the cutting. It's like that really with any kind of slippery surface, and even the old carpet turf. This is why pass rushers and recievers tend to have an advantage. When you are about to make a move, your body can prepare and balance as you explode off of the cut's plant foot. When you are out there on defense breaking on balls, staying on the hip of a reciever or back, or even anticipating cutbacks it's much easier to lose a step or slip. It's also much harder to get an effective jam when the ground is slick. Recievers with a good shake or juke can leave you flat footed...it's really important to keep your eyes on the player's numbers in said situation and try to grab some jersey if you can hide it.
In pass rush situations in slick weather, it was easy to take advantage of the less athletic guards, or when playing sam or will, the tackles in the C and D gaps. Basically, once you read their first step you can dictate the play to the lineman, taking advantage of your quicker feet. It's definately a quickness-oriented situation unless you have pocket-collapsing responsibilities. Tackles will take a pretty deep bucket step in the gun or a 5-step package. This allows them to stay outside with a quicker rusher, but leaves them vulnerable to an inside move and opens a more direct line to the qb. Guards also take a drop or bucket step, but it is often less exaggerated a movement. If you time the cadence right, you are hitting their shoulder pads as they come out of their stance. Their momentum is going back and you can usually make a shed or blow by them fairly easily.