Good point about the andantino. Some sources say that it should be slightly quicker than andante, and some would say it should be slightly slower than andante. By my estimate (just snapping my fingers along) I would say I played at just about 70 beats per minute which is right at andante. Just my opinion I think it's acceptable at this speed or slower. Any faster than this I'm not so sure it will flow nicely anymore, but I'm not sure, I haven't really tried!
Since this is a simple study piece I think it's most important for a beginner to play it cleanly, evenly and slowly to make sure you have control over your playing. After you have moved on to more advanced things and then come back to this piece some time later, the speed will come.
This piece introduces a lot of concepts, too!
You have pedal tones (the open g in the first couple measures which should be pretty quiet), double stops, 10th intervals, a little bit of chromatic run, and at the very end there is a cadence.
I will always keep coming back to it for a warm-up!