Buyer marked as complete but no transfer was made

They say it is “in progress” as we speak, but I want to make sure that the funds won’t be automatically released from escrow, or that this is some red flag.

Hi, @bailbloc, welcome to the community!

The funds are never released automatically. Only you and LocalMonero staff can release the coins.

Some traders need time to arrange payments, in some cases it may take days.