Before the Weighing of the Wands, Rita Skeeter sweeps Harry away for an interview in a broom cupboard. Harry is bothered by Skeeter’s slanted questions and the dramatic and inaccurate words of her Quick-Quotes Quill (GF18).
Date: GF18 begins on Sunday morning, the morning after the Hallow'een feast, which dates it as Sunday, 1 November 1994 [Y14]. The Weighing of the Wand takes place on the second Friday after that, which dates the end of the chapter as Friday, 13 November.
Time: We know from GF18 that Double Potions is the class immediately after lunch, that it lasts one-and-a-half hours, and that Harry is retrieved from class for the Weighing of the Wands when there is still an hour left of Potions class. This puts the interview in the very early afternoon.