- This is definitely a conflation of Norse and Greek mythology.
As several have pointed out, this punishment listed is Loki's, and does not appear in Greek or Roman myth. The confusion likely arises from similarities of Prometheus/Loki, as trickster/benefactors who were bound and tortured. Likewise, Zeus/Odin are similar as scheming "sky father" rulers of the gods.
The most famous poison story from Greek mythology may be the one involving Heracles, Deianira, and the wicked centaur Nessus. [Note: this torment is due to the wrath of Hera, not Zeus. Even though Hercules has finished his labors, and is said to have "finally appeased the hatred of his fierce stepmother", his absence from his wife may be understood as a slight against the wife of Zeus, Goddess of Marriage. Indeed, it is this absence and Deianira's anxiety over her husband's love that leads her to unwittingly destroy him.] Here are some excerpts:
[Hercules] shot an arrow through the centaur's back,
so that the keen barb was exposed beyond
his bleeding breast. He tore it from both wounds,
and life-blood spurted instantly, mixed with
the deadly poison of Lernaean hydra.
This Nessus caught, and muttering, “I shall not
die unavenged”, he gave his tunic, soaked
with blood to Deianira as a gift;
and said, “Keep this to strengthen waning love.”
Metamorphosis, Ovid, Book IX
Time passes and the plot thickens:
...tattling Rumor, swollen out of truth
from small beginning to a wicked lie,
declared brave Hercules, Amphitryon's son,
was burning for the love of Iole.
And Deianira—his fond wife—convinced
herself, the wicked rumor must be true.
The rumors prove too much for Deianira:
So, torn by many moods, at last [Deianira's] mind
fixed on one thought:—she might still keep his love,
could certainly restore it, if she sent
to him the tunic soaked in Nessus' blood.
And the result:
The hero then was casting frankincense
into the sacred flames, and pouring wine
on marble altars, as his holy prayers
were floating to the Gods. The hallowed heat
striking upon his poisoned vesture, caused
Echidna-bane to melt into his flesh.
As long as he was able he withstood
the torture. His great fortitude was strong.
But when at last his anguish overcame
even his endurance, he filled all the wild
of Oeta with his cries: he overturned
those hallowed altars, then in frenzied haste
he strove to pull the tunic from his back.
The poisoned garment, cleaving to him, ripped
his skin, heat-shriveled, from his burning flesh.
Or, tightening on him, as his great strength pulled,
stripped with it the great muscles from his limbs,
leaving his huge bones bare.
Even his blood
audibly hissed, as red-hot blades when they
are plunged in water, so the burning bane
boiled in his veins. Great perspiration streamed
from his dissolving body, as the heat
consumed his entrails; and his sinews cracked,
brittle when burnt. The marrow in his bones
dissolved, as it absorbed the venom-heat.
You can read more about it here.