You can import contacts from Yahoo Mail, Outlook.com, AOL or from other email providers. If you want to import contacts from a CSV/vCard file, you'll still have to switch to the old interface.
Google uses a third-party service called ShuttleCloud for importing contacts. "To continue, you'll need to give ShuttleCloud temporary access to your contacts data, including names and email addresses," informs Google.
Another missing feature was restoring contacts. You can now "restore your contacts to any state within the past 30 days, recover deleted contacts, undo an import, or undo a merge."
Exporting contacts and printing contacts still require to go back to the old UI.