Unfortunately, no, there isn't a similar option. It's something we're looking into adding, but LinkedIn doesn't support that (easily) out of the box. When you log in using LinkedIn they, instead, have a setting for how long the permission is granted. The default is "Until Revoked", but it can be set to as low as 1 hour (I think).
JLinked v1.1 is coming out later today and has a lot of updates, but unfortunately, this isn't one of them. With the next release, we're hoping to add a way to destroy LinkedIn's cookie if JLinked is configured to do that, which will be similar to what JFBConnect does.
Hope that helps,
Alex