Since Hyuuga's have like two KKG: Byakugan & Tenkatsu release, it would of been cool if they could have had an ability where they could release chakra from their body, to have a kind of third-link sensing prowess. Best way I can explain it without being retarded is like:
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Not the same but you get the idea.
It would probably boost precog kind of like the Sharingan 3T. I would probably spin it around that kind of style, giving them stronger abilities based on the combination of Byakugan/Tenkatsu release rather than making up some dumb retarded chakra mode that literally came from nowhere.
IF the tenseign makes a return, I hope Kishimoto fixes the design, abilities, etc. Cause it is trash AF