If you want to take up alanrwood's very good suggestion, to raise the task bar's height, but don't want to lose any screen real estate you could always set the task-bar to Auto Hide. When you move the cursor away from the task-bar it will automatically disappear and will re-appear when you move your cursor to the task-bar area.
It also depends on the size of text and the screen resolution. On one of my machines I have both date and time displayed on the single height taskbar. Play around with the resolution and text size settings and you might actually achieve what you want.
Many thanks all. I have unlocked the taskbar and raised the height before relocking. Just what I want.
There is an odd word alongside the various icons and above the date: 'teisipaev'. Is it russian? Any idea what this is. The laptop is a toshiba.