I guess this maybe an age old question, but, as I am new to this part of the Auto hobby, here's my problem.  I have a 87 Tintop with a SPOA 5" lift from  Rocky Road. I felt lucky to find a set of Swampers 32/10.50. Looks great, drives great ( very long legged). but when I make any sharp turn the tires hit the springs. Strangely more so on flat ground also. What can I do.? Tires are mounted on 15/7 American  Racing stock rims.
  I love this little truck, have built it almost ground up last winter, very good therapy , as I went through cancer 2 years ago, am still in recovery mentally I have 1.6 16 V engine, new gas tank,skid plate, custom bumper., winch , and Mini Cooper leather interior, also ps from Sidekick which I bought a good running car to be cut up.  I say all this, cause I have an engineering background, am retired at 71 .I still want rear air lockers,compressor,transfer case gears. I think that will about do it.  O' I painted it Supper Fly Yellow, Lamborghini Devil paint .  enough of all that braging, I just need help on tires and spring rub problem. ?.

Im running 31/10.50's with no rub and room to spare.  Its possible your trouble could be the rim backspacing.  The easiest solution to keep those rims/tires would be wheel spacers i suppose.

what rims are you using? If you have 3-4 inches of backspace currently, you will need more; 2.5" was the original, and will get the tires further away from springs...

Spacers = $120 +/- , rims approx. $200 new from summit

+1 to above. Im running 32x10.5x15 Pro-Comp muds with RR 6" SPOA and don't have any issues with rubbing. Need to get those tires out away from the springs. Maybe a spacer on each wheel.