Just like One-click ordering, the point is to make a purchase easy and let only the people who don't want to go through with it cancel, not to bilk people out of money via misclicks.
Amazon, in my experience, are very good with returns & customer service.
However, for the record of other readers, if you're in the EU, then you are legally entitled to a refund on anything you buy online within 7 days, even if you buy it non-accidentally and you've just changed your mind.
cf. http://ec.europa.eu/consumers/cons_int/safe_shop/dist_sell/i...
Even more befuddling is that every Amazon purchase I have ever made has resulted in a confirmation email minutes after the purchase. This "Special Offer"'s confirmation came to me at 2AM, well after I went to bed. I'm willing to chalk this up to me mistakenly hitting the buttons and ordering the offer while awake and that there's a delay to process it on the LivingSocial end. Either way, it was not reassuring.
edit: to be clear, by "delay the confirmations" I meant to say "delay the actual purchase"; the purchase(s) doesn't actually get charged until their time threshold hits.