It could be a Fender Contemporary Tele model from 1985-85 - I remember playing HH and HSS ones in 1985 with Fender's "System 1" tremolos on them. The System 1's weren't Kahlers, they were made for Fender by Schaller. That being said Fender had some failures with the System 1s and by late 1986 or early 1987 they were using the more reliable Kahler 2500 "Traditional" trem.
I have never come across (either in person or photos on the web) one of the Contemporary Tele models with the Kahler 2500; I've just come across various Strat models with them.
Hapax87 - can you did up that video and post a link?
EDIT: I found an old thread here on TDPRI from 2009 with some photos of the HSS and HH Contemporary Teles - all the ones pictured in the thread have the System 1 tremolo:
http://www.tdpri.com/forum/telecast...p-required-identifying-telecaster-please.html