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Originally Posted by MacM
"Given clocks "A" and "B" which have a relative velocity between them how do YOU determine WHICH will experience time dilation and length contraction?"
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With what you've stated as a given-only two clocks-you can't. They are both entitled to claim the other experience's time dilation and length contraction. They will never meet again, given inertial motion only, and so can't determine which clock was moving slow or who was contracted. The reason cjl4 posted that story, is that what you are asking is simply a version of the twin paradox.
Now, you can postulate a third observer (such as the word YOU) in the given, but then YOU will have relative motion between the others and you will see both of the others contracted/dilated by different amounts, depending on their motion.
What you have done is to set up the YOU observer as some sort of absolute frame observer, and that is outside the scope of SR. SR doesn't admit to ANY absolute frame.