Discoveries using carbon dating
They will argue that the clock was not reset if the age is too old, or that isotopes were selectively removed if the age turns out to be too young.
In the study on the Hawaii lava flow cited above, it was argued that entrapment of excessive amounts of argon gas had made the samples appear older than they were.
However, conditions may have been different in the past and could have influenced the rate of decay or formation of radioactive elements.
Radiometric dating techniques are thus based on sound scientific principles, but rely on so many basic assumptions that Bible believers need not have their faith shattered by data derived from these techniques.