I have some cuttings that I just made.  I wrapped them in damp paper towels, and then double sealed them in 2 zip lock bags.

Will they store like this in the fridge until January or February?

At that time I plan on taking them out of the fridge and rooting them.

Thanks for your help.

Joe

It doesn't take too much moisture in the paper towel. You want to make the moisture level just high enough that the moisture level in the cuttings stays the same as when harvested. Check on them from time to time.

Like Jon said you don't want it really damp. What I would also do is dip them in 10% chlorine solution and air dry them then place them back in a zip.
If it's too wet in the bag, they won't store for more than a month or so. You will certainly get mold.

The following is from Ray Givens' FAQ on his website:

Q. How do you store cuttings over the winter?
A. Seal them in zip-lock bag right away. Don't wet the cuttings or place a damp paper towel or anything like that in the bag. You can dust them with a fungicide before you seal AND label the bag. I also like to dip the cut end in melted grafting wax. (Wax, not parafin which gets too hot.) Store them in the vegetable/fruit bin of your refrigerator until the weather warms and danger of frost is past.

I got that from his website:
http://www.raysfiginfo.com/faq.html

Anyway, I got some grafting wax for my birthday!!

I expect to get a fridge full of cuttings from some local unknown but hardy trees!

FrozenJoe
You got a solid advice above from experts. However, I found accidentally what experts have mentioned in the posts is that for those who will be rooting cuttings from their own plants or other accessible plants, the bext time to take cuttings is when the plant is just breaking dormancy. Cuttings at that time rooted for me in rooting soil much faster (with plastic bag small dome). This also allows one to take the plants outside in shorter period then holding it inside during the winter (until mid to late spring). One may say that why not air-layer then. That is good suggestion but air-layering normally gives you one plant per branch but one can cut the branch for more cuttings and so more plants (for a green thumb).
But if you are doing cuttings received from others then any time is good as long as the cuttings remain viable.