Transferring a name from the web app Onename to an external service or your own blockstack-cli wallet generally take a couple hours.
You can monitor the new owner address’s address in a block explorer for the incoming name transfer transaction. Once the transaction is sent, the name will show up as owned by the new owner after about ten confirmations.
If the name hasn’t transferred after a half a day or so, you can reach out to Onename support at [email protected] to check on the status of your transfer.