If you are only running 4 rods and want to clear out one side of the boat you can just adjust the boat direction and clear the 1 remaining rod on the side youtook the hit on. Unless it's a 600' copper you should have no problem getting it in before a salmon in ready to net.
Personally I don't clear any rods, I may slow down to gain some line on a screamer or help women and my kids gain line on some fish, but I am back almost to trolling speed when I go to net a fish to keep him out of the lines as we move forward. I do try to keep the fish/line directly behind the boat the entire fight, I have even pissed off some guys (if your on here I am sorry...) as I turn towards them to keep my fish straight back, I'm also a back of the boat netter, not off the side, long net handles help.
If a diver takes a hit and my riggers are still in the water I may swing them out from 45* to 90* to give me a little more room at the back of the boat but even that only gives me about 4' with both swung out.
If the riggers go note the depth and get the cable up then the only thing left on that side of the boat is divers that are swung out off the side and board lines that are way out.
Everyone has close calls and some tangles, some fish just like to swim with you as you get them close and then go nuts when they get to your spread. I had one almost get into a 500' copper 75' off the side on my left board line last week, it was hooked just right and just wanted to go that direction all the way in and I couldn't turn any sharper without a mess. We goosed the throddle for a little bit and made an adjustment in our direction while he pulled some drag back out after that he came right to net at the back of the boat.
Now when you are all alone out there with a #25 King on a 10' Wire Dipsy.... All bets are off....!
j