Scraping the company mainframe for billing data: Increased rev by $1 million fixing accounts incorrectly billed.
Compiling the scrapped data into MySQL: $3 million in lost inventory found.
Waiting 6 months for a site visit so I could tell the COO directly that any employee could dump all the credit cards in our database: Priceless.
If you're circumventing finance, then we may not be a particularly helpful tool for you.
Eventually, the whole thing came to light and the company was forced to admit how stupid they were being.
See, they had paid for a year's service of the bad tool, and they were adamant that they get their money's worth. They were absolutely blind to how much money they were wasting daily. The sunk cost was sunk. There was no way to recover from that, and the tool just couldn't be salvaged.
This kind of tool would be aimed at precisely the market that would never pay for it.
If employees need to circumvent company policy to use Basecamp, the only way in which such a tool would be used is to identify culprits and get them back in line.
edit: on the other hand I would love a startup to prove me wrong :)