A phone call to one's crew or friend, often late at night drawing parallel from a Booty Call. Usually the crewty caller wants to talk to, spend time with, or do something with his/her crew.
Person 1: What's up! What are you doing right now want to hang out?
Person 2: It's 3:41 in the morning...
I was drunk last night and wanted to hang out so I had to do a crewty call.