How does the craving or clinging to existence survive after death?

As per my understanding when a person dies his aggregates dissolve(his self dissolves) and if the dead person has any cravings,clinging left for the existence then he is reborn(aggregates reassemble). Craving or clinging is personal. A person craves or clings. But death causes the dissolution of self. So I am unable to understand who clings or craves after death? If we the take the simile of lamp then my question would be: who passes the flame from one lamp to another ? My questions are :how does the clinging or craving remain when there is no person,immediately after death, to crave or cling? What remains after the dissolution of five aggregates ?