After I tasted chicken fat (licked off my fingers), is it permitted to drink milk?
If you only tasted the fat, there is no need to wait before drinking milk, though some poskim write that the mouth should be rinsed out. If the fat was swallowed, you would have to wait the full time before drinking milk.
Sources: Concerning tasting alone, see Yad Yehuda 89:2; Pe’as Hashulchan 20; Badei Hashulchan 16; concerning fat, see Peri Megadim, M.Z. 1; Darkei Teshuvah 22.