UHURA: You sure you don’t want me to go instead?
SPOCK: That would be highly illogical as I am already outfitted-
UHURA: Spock, I was kidding
Nichelle Nichols and William Shatner share quick kiss behind the scenes of STVI: The Undiscovered Country.
In 2287, Uhura began to show some romantic interest in Montgomery Scott. Under the influence of Sybok, however, Uhura became more persuasive. Scotty, nevertheless, politely declined the advance, mindful of her “condition”.
However, the two are seen sharing a drink together after their mission to Nimbus III, walking closely and smiling at each other, therefore implying that some romantic progression had been made - source