Dependingon how fresh, you might be able to trim the limb and seal it back together with grafting tape and some wire and electrical tape. I do that with branches I train too hard. You'll eventually loose the limb, but save the trunk for a big dead spot. IF not, seal it up now with what you have.
I think the asphault bsed stuff in't good for healing over, thats why I use the latex based stuff.
Not sure how quick it heals during the dromant time, but worth a shot. You might b able to save some of the limb. Otherwise its save a bit for damage control.