We probably come closest in Balder's dreams: Balder dreams of being killed, and thus Odin rides to Hel and wakes the corpse of a Völva to find what it means. However, while is not clearly specified which kind of magic is used, runes or seiðr (Odin was proficient in both), it is said that he worked it by saying it, rather than carving or painting it.
A similar motif is also found in Grógaldr, where Svipdag summons his dead mother (also a Völva) to aid him in a quest given him by his evil stepmother. Again, the kind of magic is not specified.
However, the method of waking her is similar to the one employed by Freya in Hyndluljóð to wake Hyndla. Here, it is not specified that she is dead when she is woken, but given that this seems a common trope, we can assume it. If so, then we can be reasonable sure that this is seiðr rather than rune magic, since Freya was the one who brought the knowledge of this to the Aesir.
Finally, we have the Hervarar saga, where Hervor awakens her father to get the cursed sword Tyrfing from his Burrow. Again, this is done by calling out to him, in a similar manner to Grógaldr and Hyndluljóð.
Thus, while there is a common motif of heroes waking the dead temporarily to get something from them, it is never explicitly linked with runes.
(For an example of someone actually using runic magic, see Egil's saga, where he breaks a botched attempt at love runes and renders a cup of poison safe to drink).
I remembered another resurrection in the myths: when Odin revived Mimir's severed head. This is retold in Heimskringla, and is said to have been done by galdrar.