"Instagram users own their content and Instagram does not claim any ownership rights over your photos," he wrote. "Nothing about this has changed. We respect that there are creative artists and hobbyists alike that pour their heart into creating beautiful photos, and we respect that your photos are your photos. Period."

It is, of course, too early to know how many people were fleeing Instagram on Tuesday. But anecdotal evidence suggested a movement was afoot.

Instaport, a tool that lets users export and and download their Instagram images, was reporting overtaxed servers Tuesday morning.

"Our servers are very busy right now, so it may show you some errors," the company wrote to a user on its Twitter feed. "Please try again later or tomorrow."