The Danish king Svend Estridsen tried twice in 1070 and 1075 with little luck. In 1070 he had a large fleet at York, but nothing really came of it as the Danish commander was paid a large sum of money by William to just pack up and go back home, much to the chagrin of his brother, the king.
Ten years later one of Estridsen's many sons, Canute IV, gathered 1000 ships for another attempt at conquering England. However, because of tensions with the HRE the fleet never left Denmark. People got pissed and Canute ended up getting murdered by angry peasants.
So the idea of a reconquest was certainly very much alive during the 11th century, but circumstance and bad leadership pretty much made all the attempts stillborn. Change some of said conditions and it could probably happen.