This should have been in Questions Answers section
First of all, i really recommend you buy a Clock of Reincarnation instead of a new monkey/squirrel. Why?
A Clock of Reincarnation works as a grass of life, when your lootpet dies you use the clock to revive it, or simply use the clock before it dies to extend the time! And they are much cheaper aswell!
The time of Gold Ticket doesnt start running until you activate it.
The Clock of Reincarnation will be saved until you use it.
The Pet time will start ticking the second you buy it.
(even if it's stored in storage).