Take a Hoe, use it to make footholds.. easy as that.

Use Swamp-tier foods, Health/Health/Stamina setup until you can make Mountain-tier foods (Wolf Skewer, Sausages, and Eyescream). Don't bother with Onion Soup, it's both inferior to Eyescream and requires 3 times the amount of Onions to sustain.

Only problem with Eyescream is that it requires 3 Greydwarf Eyes and 1 Freeze Gland.. both items having alternate purposes that are rather important. (Portals and Frost Arrows respectively.)