Frangipani cuttings can live for up to 8 weeks after the cutting is removed from it’s parent tree. Cuttings have a longer life span in the colder months when the air is dry. In warmer, more humid climates it is recommended to only leave cuttings for up to 4 weeks, before replanting.
To grow a frangipani tree from a cutting all you need to do is plant the cutting in a pot, or straight in the ground. To keep the frangipani cutting standing upright you may need to use a stake and some tape.