Brief review of wikipedia leads me to conclude that it would be more accurate to say that the British government could furl the winds of revolution. The British government repeatedly (e.g. Oman, or @T.E.D's example of Egypt) provided support to a ruler who would otherwise have been at risk of overthrow. That said, below are a few examples of British support for rebels or counter-government forces that ultimately benefited the Empire.
The British, based in Calcutta, supported rebels from Manipur, Assam and Arakan fleeing into British territory. Wikipedia:First Anglo-Burmese War
Meanwhile, in 1793, France declared war on Great Britain. The white planters in Saint Domingue made agreements with Great Britain to declare British sovereignty over the islands. Wikipedia: The Haitian Revolution
Siraj-ud-daulah had become the Nawab of Bengal the year before, and he ordered the English to stop the extension of their fortification. Robert Clive bribed Mir Jafar, the commander in chief of the nawab's army, and also promised him to make him Nawab of Bengal. He defeated the Nawab at Plassey in 1757 and captured Calcutta.3 Wikipedia: Battle of Plassey
One might argue that Great Britain didn't "unfurl" the flag of revolution, but merely allied with an ongoing revolution. I submit that is a distinction without a difference.