Yes there were. A quite famous example is the revolt by the Batavi in the Lower Germany (now the Netherlands) in 69-70 AD. Just before emperor Nero died, he fired the Batavi cavalry forces as part of the imperial troops, which was a great insult to them. When battle for the succession of Nero ensued, tribes in the lower Rhine delta revolted against Rome, and huge amounts of Batavi troops deserted from the Roman legions and joined the revolt. Gaius Julius Civilis, a former cavalry commander, joined them and under his command, the Batavi managed to win a number of battles against the Roman legions, and sacked a few Roman camps. When the revolt reached into Gaul, other tribes started to revolt also, and declared chieftains as emperor of Rome.

However, as soon as the new emperor Vespasianus restored order in Rome, he sent fresh legions to the Rhine area. A number of Civilis allies surrendered at the arrival of those troops and peace negotiations followed, in favor of Rome.

One can argue if this was really a strife for independence, or just one of the conflicts that were part of the unrest that followed by the death of Nero. Fact is, that later many early-modern Dutch historians interpreted the revolt of the Batavii as a strife for independence that was supposed to be an inspiration to the Dutch revolt against Fillip II of Spain in the late 16th century and later on. In the wake of the French Revolution, the Dutch created a new Republic that they called the Bataafse Republiek (roughly translated as Batavian Republic) in the late 18th century. One of Rembrandt's most famous paintings depicts Julius Civilis conspiring against Rome.

EDIT:

I forgot to mention that Civilis was named Claudius Civilis by Tacitus an appears as such in many sources.

A proper academic online account of the Batavian Revolt can be found here: http://www.livius.org/articles/concept/batavian-revolt/

EDIT 2: I noticed an typo. I said 69-70 BC, but meant AD off course... blame it on English not being my native language