Rather than clamping or nailing shelf edging 'til the yellow glue sets up, what about contact cement? I know that the wood cannot be repositioned -- thus the word "contact". I am thinking of a wood edge rather than edge tape. For 3/4" ply, I'd use a 1/4" thick slice of 5/4 and then route the part that overhangs above and below the ply. WIll contact cement hold as well as yellow glue and clamping?
A concern is that staining might be a problem if there is any squeeze-out/drip onto the ply. I haven't used contact cement in a while and don't recall if it is possible to roll some on the edge of the ply w/o it unavoidably ending up on the surface of the ply.
Comments? TIA. -- Igor