If its an English elm you will almost certainly get new sucker shoots growing from the root system. These seem to get to about telegraph pole size before getting reinfected and the whole cycle starts again. Unfortunately there isn’t a miracle cure although as a species elms are a long way from being extinct. It is very sad what they have been reduced to, there are so many places that are simply unrecognisable from photos taken in the 1960s and before. I started tree work when the epidemic was at its height, we felled some real monsters, magnificent great trees.
The wood is good on the fire once its dry, the bad reputation is because it has a lot of water in it when its fresh, it needs to dry out thoroughly.
BTW I have a Forestry Commission book dated about 1965, which says that Dutch Elm Disease is an interesting little problem but nothing much to worry about. Ooops – shades of Michael Fish and the 1987 Hurricane.