By calling the print method, the timeline will open a new window and print its content.

var inst = $('#mytimeline').mobiscroll().eventcalendar({
    modules: [mobiscroll.print],
    view: {
        timeline: {
            type: 'week',
            startDay: 1,
            endDay: 5,
            eventDisplay: 'fill'
        }
    }
}).mobiscroll('getInst');
                                     
$('#print-button').on('click', function () {
    inst.print();
});