I see a couple of options here:
1) The Lich's soul is now that of an undead, forever. The clones now simply serve as backup phylacteries and become undead when he animates them.
2) Destroying the phylactery destroys the Lich's soul. The clones still activate, with all his memories, but lack a soul. The effects of that are up to you.
2b) The clones activate, but only when a new soul is put in them, possibly activating randomly as wandering spirits (or a demon, intellect devourer, or other extra planar creatures that can theoretically possess someone) find them and possess them. Now you have clones of the Lich from his living days with different alignments and possibly different sets of memories wandering around.
1) The Lich's soul is now that of an undead, forever. The clones now simply serve as backup phylacteries and become undead when he animates them.
2) Destroying the phylactery destroys the Lich's soul. The clones still activate, with all his memories, but lack a soul. The effects of that are up to you.
2b) The clones activate, but only when a new soul is put in them, possibly activating randomly as wandering spirits (or a demon, intellect devourer, or other extra planar creatures that can theoretically possess someone) find them and possess them. Now you have clones of the Lich from his living days with different alignments and possibly different sets of memories wandering around.