At the times I have used a chain/slip collar along with a leather collar, I always left them both on. Just for the reason you said, so that their tags/ID were always on them.
I also have my dogs collars on at all times. I just make sure to check the collars every day for wear and correct fit.
He is your friend, your partner, your defender, your dog. You are his life, his love, his leader. He will be yours faithful and true~ to the last beat of his heart. You owe it to him to be worthy of such devotion. ~unknown