Although not as durable as glued solid wood veneers, in some circumstances, a hot-melt veneer tape can be appropriate — facing the edges of internal shelves or dividers in a cabinet, for example.
The process is very simple to master. You can purchase veneer edge tape with a heat-activated glue from woodworking specialty stores and websites (rockler.com is a good choice). Once you have the veneer tape in hand, you cut it to appropriate lengths and hold it in place on the edge of your board and use a heat source to activate the adhesive. A clothes iron works great, but there are also specialty tools made just for this task.
After you have run the iron over the tape and stuck it to the edge, burnish it down by rubbing it hard with a block of wood or a J-roller. Then you need to trim the excess from the tape with a specialty tool, trim router or even just a block of wood with sandpaper.