There is an irony to this card in the current meta.
The two most obvious choices to throw behind this card are Spiderweb & Hive. But I do not believe these are the best options. The fine print here is "...at least 1 subroutine." Meaning if the breaker being used can break more than a single sub with each pump, it might just be easier to let the subs fire and keep moving.
Popular examples of Breakers that can break more than one subroutine include Who Thought This Was a Good Idea, a weasel, a tank, and the Stealth AI. Most of these cards only pay an extra 2 credits to do their jobs, instead of [Number of Subs] x 2.
Compare that to the fact it costs about 4 credits for more popular decoders such as Gordian Blade, Abagnale, Inversificator... Refractor breaks for 2 + 1 Stealth, and you realise it's cheaper to just let it fire than to try and break it. So let's try and do something that will force the Runner to find an answer to it.
Now, as Paperclip is incredibly popular at the moment, is there any multi-sub ICE that AREN'T Barriers, that can have more than a few subroutines? There are a few options we have: Woodcutter, Komainu, Ireress, and Fairchild. Two of those are already amazing to begin with, but two of those are also lacklustre otherwise. In particular, I feel that Interrupt 0 would work very well with Ireress, as it not only offsets the free credits from your Bad Publicity, but forces the runner to pay on top of that. However, a 5-sub Komainu, or Fairchild, behind an Interrupt 0 would be a genuine pain to deal with.
But ICE isn't our only solution, Chief Slee forces the runner to respond, paying the money to break it, or suffer.
I'm sure there a number of other points I've missed, but those are the ones that have come up the most in my experience.