When a Psicrystal is destroyed, you lose the bonus based on the Psicrystal personality(-ies). You regain them when (or if) you get the Psicrystal back.

There are no rules for regaining a Psicrystal. You could read that as being able to get it back after a night of rest, after some extended downtime, or even that the destroyed Psicrystal is never capable of being regained.