I haven't had a newspaper delivered for about 10 years. It's free on the internet and I don't have to tip my computer.
Nothing.
I only get the paper on Sundays and I always have to look for it. This year I didn't tip at all. Missed papers, missed Holidays, nope, not this year.
From what I have read and seen on tv lately, it is customary to tip the amount of a month's subscription.