Can reincarnation be understood as the 'last thing to cling to' in life?

Throughout the journey toward enlightenment and letting go of attachments, we cling to various tools given to us by the Buddha. So 'clinging to something' in general might not be bad, as long as it helps liberate from suffering. Would it be fair to say that the idea of reincarnation is then something that high attaining people cling to, in order to be liberated from fear of death? Or does the teaching primarily come from direct perception of reincarnation itself, not of it's value in liberation from suffering.