Since todays update, the client closes itself.
I've been using both the normal client as the client from the jagex launcer.
I log in, can click once or twice ingame and then the clienst closes itself.
Tried to do it a few times, all the time the client was shut down in less than a minute.
Whilst I can't be of much help with resolving your issue, I can direct you to the best place to seek help which is the
Community Led Technical Support
forum. Feel free to post there and provide some system specs - Operating System, graphics type and driver version, etc. You can also send a Bug Report and the game will send all relevant data and your comments to the developers.