Jenstar, I think you would suffocate before you froze. i don't know the answer disregarding suffocation although apprently average survival in water at 0 degrees C is just over an hour.
Water robs the body of heat seven times quicker that the equivilant in air......it would depend on the clothing, body mass etc, but I would anticipate hypothermia would set in fairly quickly and death would probably occur somewhere between 12 and 24 hours but I could be wrong.
is this a trick question? the answer is you wouldn't as i defy anyone to get an average-sized person into a chest freezer. Being stuck in a standard freezer though, you would go into hypothermia in the first couple of hours depending on clothing and ability to move around (and therefor generate heat). Death usually follows soon after.