"I think we do not have a Lisp plug-in for browsers"
Well, we have JavaScript, and it is not really safer by design than Lisp (they are quite close, too). But JavaScript has a security manager, quite restrictive sometimes. And look at rebol : that's also a close relative to Lisp and it's got a cool security manager.
Well, they mainly prevent you from reading/writing the host filesystem or from connecting to undesired remote servers.
Lacker, this might not be as "secure" as Java's model, and not exactly what you were asking as it does not prevent you from overwriting another's code, but it is obviously enough to run untrusted code on one's machine. And to implement it, you only need to overwrite the dedicated axioms in ac.scm.
Then there was that other ILC where the speaker argued we Lispers should rejoice because Javascript was a Lisp and was in all the browsers. Make sure there are no children in the room and I'll tell you what happened next.