As requested by Jeanne, this is what the pencil sharpeners from Lidl stores look like. I have tried to find this brand/model online but have only found the odd one for sale at inflated prices on eBay. So, when Lidl have art materials on promotion (a couple of times per year) I like to stock up. I don't think Lidl have stores in the USA yet?
The sharpeners can be fixed to your desk with an adjustable bracket/butterfly screw but I've found the screw works loose after a while and I get fed up with tightening it so I just handhold the apparatus and it works well for me.
My sharpeners get heavy usage with pastel and wax/coloured pencils so I guess they stay sharp for around 6 weeks - longer if I remember to run graphite pencils through every now and then.
The photos don't show it clearly, but the sharpener has a clear plastic tray to the front so I can see when the shavings needs removing.