Here is current radar:
Storms that are moving across the area along a boundary/"cold front" have kicked up a lot of blowing dust. Visibility near zero was reported northwest of Lubbock on U.S. 84 around 4 p.m.
Also, there have been a few landspouts reported this afternoon, including just northwest and north of Lubbock before 4 p.m.
You don't need to be as worried with these as when supercells are producing tornadoes. But these landspouts or gustnadoes can occasionally do some minor damage to roofs, trees or other things outside. They usually don't last long. The most likely location for landspouts will be along the leading outflow boundary/front, which is pushing south of Lubbock. Even then, development will be isolated, at best, and will be even less likely after 6 p.m.
As far as severe weather threats, a few storms may be able to produce 60mph wind and/or 1" hail rest of this afternoon into the evening. But most storms will probably stay below these thresholds. Heavy rainfall will be expected from some storms, as well.
Tomorrow afternoon a few more storms will be possible. Then it just looks sunny and hot, though isolated storm development still can't be ruled out each day.