Have searched but have not found a TextMate 2 .dmg file available for OS X 10.7 (Lion). Is there one downloadable online?
Also, there are pre-built binaries for TextMate 2 here: https://github.com/textmate/textmate/downloads
However, I downloaded the tar.gz and decompressed it fully, but don't see anything that looks similar to something I could put into the Applications directory. Update: The zip/tar.gz of the repo was removed, so you can intuitively download the .tbz and decompress it to get the app now.