If you set your status to "Away", as a Live Chat agent, the end-user (e.g. student) will not be notified. The end-user will be able to continue to engage in Live Chat with you until the Live Chat agent clicks "End Conversation" or the student otherwise goes offline / ends the conversation on their end. 

At the end of your shift as a Live Chat agent, it is best to set your status to "Away" 15-30 minutes prior to your shift ending so you can finish any Live Chat conversations that are assigned to you. Once your status is set to "Away", you will not be able to take new conversations and the option to engage with a Live Chat agent will not be offered if your status is set to "Away" and no other Live Chat agents are available for your department.