The Channel Dash is a tactical success for the Germans by getting three major surface warships back relatively safely to German waters (the Gneisenau’s mine damage will not be repaired and she is headed for the scrap yard).
Strategically, it is a confession by the Germans that they will never again send surface ships into the North Atlantic. To that extent, Britain has won a victory in the Battle of the Atlantic.
Indeed.
However, Churchill suffered political fallout.
http://en.wikipedia.org/wiki/Channel_Dash
In Britain, the mood was sombre. An editorial in The Times of London read: “Vice Admiral Ciliax has succeeded where the Duke of Medina Sidonia failed. Nothing more mortifying to the pride of our seapower has happened since the seventeenth century. [...] It spelled the end of the Royal Navy legend that in wartime no enemy battle fleet could pass through what we proudly call the English Channel.”