Over at The Unspeakable Oath I wrote up a summary of the changes to Call of Cthulhu 7th edition, now in development for Chaosium.
Connections are things that are important to the character. A Connection could be anything — a person, a place, a thing, an abstract idea. “It might be your dear old mum,” Paul says. “It might be the house you grew up in. It might be your dog. If you want to play it, it might be your trusty .38 revolver. Faith in the Lord. Abstract concepts. Whatever is important to your character.”
You can call on a Connection to refresh Luck points, but only once in a given game session for each Connection. The amount of Luck you can refresh by calling on a Connection depends on the length of the game session, one point per hour of play. Or for a one-off, standalone game session, a flat five points.