I was attempting to name my wolf/dog but the name tag isn't placing onto the mob. I tried on my horse as well & still will not name.
Correction: on the horse it appears that they are named but the name will not show unless your in the horses inventory. Since the wolf/dog does not have an inventory you name it but can't see the name.
Comments 2
Cleaning up old tickets: This ticket had been set to 'Awaiting Response', but has not received a response from the reporter (~3 months+) so is being closed as Incomplete. If you feel this is still a valid issue then please comment, or create a new ticket following the Issue Guidelines which includes steps to reproduce the problem.
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Do you have the "In-game Player Names" option enabled in Settings > Video?