Most leathers are very tough and will recover from being cut and moved. Superglue, superglue then epoxy and rubber bands (and even toothpicks or skewers and rubber bands) are common ways of securing leathers to a new place. It's ok to touch it a bit- no need for a fish net. Like many soft corals, it will be ok out of the water for a few minutes while you secure it to a new home.