Cash purchase, seller want to stay back after closing

[Jason Phu]

Hi Everyone,

the seller is asking a quick closing on a cash purchase, and want to stay back after closing for another 30 days. As a buyer, what should I do to make sure everything is going right in this situation? I don't want to give all my money and can't get them out if they wouldn't leave afterward. Anyone encounter this situation before? should I move forward with this kind of transaction and does it sound alarming?