I remember dealing with that in Mint. Removing it entirely with the package manager worked for me. :) Worthless piece of software.

@Ion Silverbolt
I managed to get it 'fixed' but what did you remove with package manager? I wouldn't call it useless in a less locked down environment but I'm an end user on a home network. Would like to know what the package is that you removed and in which version of LM.
krusty

It was in LMDE Xfce. I just searched for Gnome-Keyring and unclicked anything that had Gnome-Keyring in the name. The process should be the same in Mint or Ubuntu I imagine.

What drove me nuts is, they included it in the Xfce version. I suppose it serves some purpose. It just seems to me that there are better methods of security they could deploy. Less annoying ones at that. :)

In Debian I can remove gnome-keyring by executing:

sudo aptitude remove gnome-keyring

Aptitude wants to remove also:

gnome
gnome-core
seahorse
task-gnome-desktop

which is a bit disturbing, but if you agree this actually won't remove the gnome environment (I rebooted and logged with gnome-session, everything seems ok), because this three gnome related packages are metapackages (they group other packages, so it's easy to install the whole gnome environment).

I am running Debian-testing with LXDE desktop, with some gnome and xfce4 applications. I was trying to run an application with wine, but it showed error that gnome-keyring couldn't connect to some file in /run/user/username/keyring-xxxx/ folder. I do not know where gnome-keyring has come from but wajig package manager shows that it is installed. Can I just uninstall gnome-keyring or will that cause some major problems to the system? Thanks for your help.

Easy fix
 

open terminal and type seahorse

Then click on login and delete what is there