Rockm is correct, but I do have a few questions that could help to get some more targeted advice.
Firstly, do you have any idea how old the tree is? I have bare-rooted many loblolly pines growing in clay that were all less than five years old. They can actually get pretty big in that amount of time, and they have enough vigor to put out new roots to compensate for the ones they lost. If it's an older tree, forget it.
What species? A vigorous species like loblolly pine is going to be able to handle much more abuse than a slow-growing species like mugo pine.
What does the current root ball look like? Did you cut through thick structural roots to get the tree out of the ground, or did it have a fibrous root system close to the trunk? The more fine roots, the more wiggle room you have to start removing some of the clay.
How was the overall health of the tree at collection? Was it growing quickly, with thick, coarse branching, or was it a stunted tree? For a vigorous tree, I would be less hesitant to remove clay. For a stunted tree, wait a couple of years to get it established in a pot.
Edit: John G. is also correct. He posted while I was writing a response.