Hey! I applied on 13th october, and i got an offer from sheffield on the 19th (i'm looking to study PPE btw).
From what i know from others who have applied to sheffield, they respond quite quickly - hopefully you'll hear from them soon 🙂
Also, one of my friends has gotten an offer for maths from southampton after about 2 weeks, so you shouldn't have to wait too long to hear from them, too