You are experiencing a rare side effect, you need to tell your doctor asap, have you had this problem with Vicodin or
Tylenol? If not it's probably the
oxycodone that's the cause.
One cause of yellowing of the sclera (white part of the eye) is related to liver problems, so this could be quite serious, it needs to be addressed, asap. Expect your doctor to order you a liver function test, which is done by a simple blood test.
Let us know what you find out, this is interesting and not real common.