You may argue that very few of the 200 billion tweets sent per year are worth keeping on your wall. After trying it for a bit, though, some of us found it kind of amusing to memorialize some of the mind vomit from Kanye and other famous Twitter users. If you want to try it, just pick a tweet, either your own or from another user like @50cent (above), and the company will automatically lay it out into a grid on the background design of your choice.
You can preview it (above) then pay $69 ($59 during the launch month), to receive a numbered poster with your 140 character (max) tweet printed on fancy stock with UV resistant ink. There are certain limitations -- it doesn't appear to handle emoji characters, and tweets over a few years old don't seem to show up.
The company points out that "Twitter is dying," so the service could also become a "memorabilia creator." However the service still has 300 million-plus users, and if you really want your posts to survive the Twitterpocalypse, you can save them to a permanent archive. Perhaps Twitter itself could use the service, though -- it could turn its most hateful, bullying tweets into posters as a daily executive reminder of how bad the harassment problem still is.