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Please read T.K's profile from 01 before this one so it makes sense!
In 02, T.K. is one of the members of the group who knows what he's doing. Along with Kari, they try to help Yolei, Cody, and Davis understand digimon (even though Davis can't say T.K.'s name right). T.K. plays a very big role in 02- one of the two original eight who do.
T.K. and Kari actually seem closer in 02. They're usually together and they flirt alot (to Davis' dismay). Also, in the episoid where Kari goes to the Black Ocean, T.K. accidently spills his feelings. When Kari is feeling dow he says, "I care too much for you to see you like this!" he then blushes and runs off. When leaving the Black Ocean, Kari says to T.K., "I care alot for you too."
Patamon is till T.K.'s digimon in 02. He only digivolves into Pegasmon with the help of the digi-egg of Hope.
Because of Patamon almost leaving in 01, T.K. is scared to let him digivolve in 02. He is also obsessed with stopping Ken and any evil for the same reason. It's sort of a blessing and curse. But with Cody's help, he kind of gets better at controling it. Angemon and Cody's digimon Ankylomon DNA digivolve to Shakkoumon as well.
25 years later...
T.K. is an author and clues everyone in on the digi-destined. He also has an adorable! It's just too bad him and Kari never got together...