I haven't played the current rules but have run my demon armies against dwarfs on a number of occasions. The dwarfs are tough and for Chaos it was usually a matter of winning the fight or facing a break test that could destroy the unit.
So I typically figured out all the stuff I could to stay out of combat.
I played Tzeentch. I didn't really see any of the other powers, except Khorne, as having much stick-with-itness in close combat though.
Even Khorne was somewhat touch and go. I have a Khorne daemon army too, they haven't faced the Dwarfs as I use them mostly to supplement my 40K World Eaters.
Things I feared most:
Dispel ability: this sucked because it meant that all of my lovely magic wasn't going to work. With the rules we were using at the time, 7th edition I think, Tzeentch armies had horrors that all counted as being magic users. With a greater daemon you had a pretty powerful load of magic you were throwing out.
But if units were immune to magic, because of a standard or some such dwarfen trickery, then there wasn't a lot to do except throw the flamers against them.
Getting flanked: this sucked because if the dwarfs were in combat and you lost the fight and had to take a break test you could lose a whole unit with a bad, and not that bad, die roll.
Take away the rank bonus and units start going poof.
Of course this is true of most armies but my poor horrors had few ways to get the gristly little bearded bastards away. Well they pretty much only had one way, throw in the Changer of Ways but then his magic use might suffer for being in combat.
Miners: These guys suck, they can pop up behind you where you don't have any flamers.
Things I hoped I would see in my enemies battle line:
Gyrocopters: These things could mostly be ignored.
Thunderers: the more shooting the dwarfs had the less close combat they could get up too. Plus the units were usually smaller and had to start taking panic tests sooner. Even with the Ld 9 they would eventually run.
cannons and other artillery: Small crew compliment meant that targeting them with spells that sucked out souls and such like really made them an easy and quickly dispatched target. Plus with a magic save getting shot by a cannon ball was about the same as getting shot by a handgun.
Now my force was Tzeentch themed, it had all Tzeentch daemons in it. I believe they have changed things so that all the ruinous powers get along swimmingly now and can all muck in together to bring desolation to the world without any infighting or some such nonsense so YMMV.