Amazon Warehouse Deals at Amazon is offering used black Olympus XZ-1 cameras starting at $151 for "Good" condition, with "Very Good" condition starting at $156. Look for Amazon Warehouse Deals as the seller. There is no warranty offered, however, you have 30 days to return the camera. Optionally you can buy after-market Square Trade warranties.
This camera was on clearance during the holidays for $200 or so, so it appears there is ample supply in the market. Even if you are not interested in it now or at this price, keep an eye out for it, because if there are too many available as used, the prices may be forced to go down!
As usual, when buying used cameras, be sure to trade off the risks and rewards. Don't buy used just because the price is lower. Be sure you are comfortable with the trade-offs matrix of used vs new vs refurbished.