There are many approaches to stop these things... but on whose shoulders should the policy enforcement lie? Should a web browser be in charge of making sites safe, or should it just be an enabler that provides enough information to a server so it can make appropriate decisions?
CSRF can be stopped by the browser, but in a fairly convoluted way. It's tough for a web browser to discern which requests will cause a significant transaction on the web server. For example, the simple request
could be enough to trash someone's account on a server. Even some POST requests don't cause internal state changes (imagine a currency conversion calculator or a POST-based language translator form). It seems a bit easier to stop CSRF on the server where the application itself can decide whether or not to trust each request. This requires the browser, however, to provide some information about the request such as where it came from (but HTTP-Referrer is not reliable) or how it came (such as whether it was from an image tag, etc).
Clickjacking is more easily approached on the client side. One approach is to make an impenetrable fence around certain special frames where any outer/parent frames can't layer stuff on top of their children. This frame-firewall approach is not always attractive, so maybe there should be some mechanism that allows the server to say "hey, this is sensitive, don't overlay this content I'm serving." Then again, maybe it would be ideal to just tell the server a bit about where the content will be rendered, and let the server decide whether or not to serve data.
But what both Clickjacking and CSRF have in common is that they leverage contextual blindness that many web applications have -- they're not aware of where requests come from or where there responses end up.
It seems clear that we can't rely on just a browser-side or server-side fix for these types of things, and instead we need to have some sort of cooperation. The question remains, however, who should do the bulk of the enforcement. I'm currently leaning towards using the browser as a context-revealing tool and leaving enforcement and policy decisions up to the server, but there's many times when that's not enough to stop client-side attacks.