Currently it is compatible only with Drupal 6. Support for Drupal 7 is planned, but not yet started.
This module also has baked in support for the Ubercart Recurring Payments module, using Stripe's built-in Subscription capabilities.
This module is brand new and being actively developed, so there may be minor bugs, but the current module has been pretty well tested. That said, more people using it would help flesh out further issues.
Please leave issues in the issue queue if you uncover anything that needs fixing!
For further instructions, see the README.txt included with the module.