My personal belief is that a frenulum can't be reconstructed.
I agree. The procedure that some get is done on the top, not below where the frenulum is (nobody wants to sever nerves and such down there).
A non-amputating procedure called a transverse dorsal slit with proximal closure can create a tight skin tube tip so the skin will stay over the glans. It doesn't function like a frenulum to draw the skin (hands free) over the glans after erection, but once placed over the glans it does stay, assuming one has grown enough slack skin.