I'm sure someone else can provide better details, but basically...
Connections is a company from which you can purchase gift certificates (GC) for various restaurants, stores, etc. for 20% discount. For instance purchase a $25 dollar Red Lobster GC and Connections refunds $5 to the credit card you used to purchase it. There is an annual fee (it used to be $79 I think) but you can get a 30 day trial membership for $1. Unfortunately, their web site (www.connections123.com) doesn't seem to list all the merchants and benefits that are available. Looks like you have to join first.
One of the things you can purchase are food vouchers for WDW restaurants. I've never bought these so I don't know how much you really save. Look through the messages on this board for the past couple of months and you should find plently of people's responses about this program.
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