Short adjustable legs

The black plastic ones have no protection against sideways force at all - they would just fold up. (Not a problem for the kitchen units as they're fixed to a wall and/or another unit, but no use for free- standing).

Can it be fixed to (hung from) the side of the desk?

Not really a problem as it will never move. Also the unit is very heavy so unlikely to move accidentally either. I can see your reason for concern when thinking about the kitchen ones, but I am only talking about 5cm in height.

Very unlikely. The unit is very heavy and will likely start warping if screwed "sideways" to the desk.

There's always the traditional method.

How many books can you borrow from the local library?

I thought it was about Ernie Wise when I saw the Subject.

Surely this making a mountain out of a molehill. Make a pile of small pieces of thin ply and add or take away until a satisfactory result is obtained. Then use glue.

Bill

Coincidently, I immediately thought of Ernie Wise too. :-)

Or maybe a top on top of the top instead. Short gaps under furniture are dust traps. Brian

Ikea do slightly longer chrome legs for their kitchen base units. I used them on one of their drawer units so that it cleared the skirting board. Can't remember how much taller they are than those supplied with the drawer unit, but they fitted ok

Angle grinder. Make the desk legs two inches shorter.

Otherwise, remove the wheels or feet, make a 2" plinth from layers of MDF or whatever, sheathe it if you're being fancy, reattach the wheels or feet.

A full drawer unit will be very heavy so I recommend buying adjustable wheels if it hasn't got them already.

Screw some 5cm bits of wood to the underside of your drawer unit.

Looking for shorter, not longer...

Unfortunately desk has no wheels or legs...

Or screw the unit to the wall at the correct height, so it is cantilevered out from the wall. Looks fabulous.

I had a similar problem with some bedroom furniture on an uneven floor. I fixed some blocks of wood inside the plinth (does your unit have a plinth?) with 10mm nuts recessed into the bottom of them, and clearance holes for 10mm bolts up through them. Then I screwed in some 10mm bolts up from the bottom - with their heads facing the floor, and adjusted them to get the furniture level and at the correct height.

In my case, the bolts didn't show because they were inside the plinth, and straight onto the wooden floor - and the carpet and underlay came up to above the bottom of the plinths. You may want to use some strips of wood of almost the required height, and then use bolts just for the final adjustment.

Just had another idea . . .

How about using the sort of levelling feet that are used on fridges and washing machines? If you can get some of those - plus the metal plates they screw into - from some scrap appliances, you can fix the metal plates to the bottom of some strips of wood, and then screw the feet into them.

That's worth investigating! Fridge and WM feet were exactly what I had in mind - just didn't think about looking at scrap ones. I can feel a trip to the tip at the weekend coming...

In a similar vein, you could consider:

although they're designed for outdoor use.

They'll probably take the load, be stable etc. However they'll probably stick out a bit and may look a little ugly.