No, I must admit mine are all on non-trem guitars!
I suppose it's inherent in the design that if you dramatically change the tension of the strings, the locking device can start to loosen, so I take your point! Won't be an issue on a Tele though.
I am putting together a couple of Strats with trems, but one has Sperzels and the other will have locking Schallers, so they'll stay locked regardless of how slack the strings go.