Don't worry about it as our eyes get its own clean system.The burning is a signal to stimulate the tears,which can wash away the juice after a while.However if you just can not stand the burning,you can wash your eyes under the running water and try to blink them for several times to get the juice out quicly.And what you are not supposed to do is grabing your eyes,which can let virus on your fingers in your eyes may cause infection.
As you may have dealt with it already,hope that this can be a good advice when you confront with similar situation next time.