I'm running Linux Mint 17.3, which uses Wine 1.6.2 via it's 'approved' software repository. I can install mp3tag 2.80 with the Wine Installer, but when I try to run it, it sits for a few seconds and crashes. I failed to write down the message, but it said something to the effect that version 1.6.2 Wine is too old for Mp3tag 2.80. I tried installing version 2.39 - from your download page - and it works flawlessly with Wine 1.6.2.
I realize Wine is now up to version 1.8 (stable) and they are testing 1.9 and even 2.0 in beta. I haven't tried these, as I'm reluctant to venture outside the 'approved' software from Mint.
I'd like to try something a little newer than 2.39. Is there any chance you could make a later version available to try?