Saw no response to this so I thought I'd take a crack at it.
It really comes down to binding cleanly. Movements should be crisp and followed through if necessary so that the tail is guided more than just floating out there to be snagged by chance.
The less extra tail the better. This gets easier with practice and as you get used to the yo-yo and the string length. Obviously if you misjudge there's the chance of completely missing the bind, so don't go too far with this.
And you should also make sure that you're directing the tail around the yo-yo in the direction of spin.
Good luck! I just got a new Icebreaker in January and I love it.
Edit: I see that you found this thread:https://yoyoexpert.com/forums/index.php/topic,98489.msg1062327.html#msg1062327