Answer:
There are dependent clauses in the given sentence.
Explanation:
The first dependent clause of the sentence is: "Beowulf, of precarious provenance the single surviving, crumbling manuscript as it doesn't make sense on its own". It is dependent on another dependent clause which is "bears the scorch marks of an 18th-century library fire".
The given sentence is a complex sentence and the second dependent clause is dependent on one more clause: "has traveled across a thousand years to lodge in our imagination like some kind of radioactive space nugget".
Thus, there are there 'dependent clauses' in the sentence.