The key to solving this puzzle is to notice that the words in any one ring relate in some way to each of the words in the ring immediately inside it.

If you start with the YELLOW ring and rotating it so that connected words with the ORANGE Ring are together:

BOX/ROOM, ARM/PIT, TIGER/LILY, MAN/HOLE, DAY/BREAK, TOOTH/PICK, RISING/DAMP, FISH/HOOK, SOME/TIME, OVER/THROW, END/GAME, SIDE/PLATE

The revised puzzle now looks like the image in FIRST ROTATION below.

Repeating this process and rotating the MAGENTA ring to match words with the YELLOW ring:

HORSE/BOX, SIDE/ARM, PAPER/TIGER, ACTION/MAN, DOG/DAY, EYE/TOOTH, UP/RISING, COLD/FISH, HAND/SOME, CROSS/OVER, BOOK/END, BACK/SIDE

The revised puzzle now looks like the image in SECOND ROTATION below.

Again, repeating the process with by rotating the GREEN ring to match words with the MAGENTA ring:

CLOTHES/HORSE, OUT/SIDE, FLY/PAPER, CLASS/ACTION, FIRE/DOG, GLASS/EYE, STAND/UP, STONE/COLD, OFF/HAND, RED/CROSS, STORY/BOOK, FALL/BACK

The revised puzzle now looks like the image in THIRD ROTATION below.

And finally, repeating the process once more by rotating the BLUE ring to match words with the GREEN ring:

UNDER/CLOTHES, LEFT/OUT, HOUSE/FLY, FIRST/CLASS, WILD/FIRE, SPY/GLASS, LAST/STAND, GEM/STONE, KICK/OFF, BLOOD/RED, TOY/STORY, SNOW/FALL

The revised puzzle now looks like the image in FINAL ROTATION below.

As you can see, all these rotations have changed the positions of the various ones and zeros in the twelve number spokes.  Starting (for no particular reason) with the string to the right of the word BLOOD and moving clockwise, you get:

0               0               0               0               0               0               1               0               1               0               0               0

1               1               0               1               1               0               1               0               0               1               0               1

1               1               1               1               1               1               0               1               1               0               1               1              

1               1               0               1               1               0               0               0               0               0               0               0              

1               0               0               1               0               1               1               1               0               0               1               0

Treating each spoke as a binary string and converting to the decimal equivalent gives the following string of numbers:

15            14            4               15            14            5               25            5               20            8               5               12

Converting to their alpha equivalents gives:

O              N              D              O              N              E               Y               E               T                H              E               L

OR

T                H              E               L               O              N              D              O              N              E               Y               E

Which is the solution