Did the same by running 'update-torbrowser' from command line. Launching using 'torbrowser' doesn't yield any results, because I get this error:
INFO: Tor Browser language variable is set to en-US.
INFO: Starting Tor Browser...
user@host:~$ XPCOMGlueLoad error for file /home/user/tor-browser_en-US/Browser/libxul.so:
/usr/lib/i386-linux-gnu/libstdc++.so.6: version `GLIBCXX_3.4.20' not found (required by /home/user/tor-browser_en-US/Browser/libxul.so)
Couldn't load XPCOM.
I have noticed that debian had a big update recently, including libc (exactly the same update that caused the regen of locales to fail, this was reported in another thread but it's unrelated to the torbrowser issue).