If no one (e.g., a previous owner) has rewired the car, and if there are no aftermarket upgrades like a remote (key fob) door lock control, then there are just a few possibilities that remain powered when the key is removed.
One thing is the power door locks. But there may also be (depending on the year of your car) a time-delay relay for the dome lights.
And it may even be the clock's stepper motor (this keeps the spring wound -- it's a spring driven clock that's wound with an electric motor, not a true electric clock like a home alarm clock). It pulses briefly every ten seconds or so (suspiciously similar to your observation).
But it would have been more helpful to put in the year of your car, too.
Nevertheless, to track down the relay, start by pulling fuses one at a time, to determine from which circuit the relay is being powered. Start by pulling those fuses that power circuits and accessories that are independent of the key switch (i.e., powered all the time). Again, I can't tell you which specific fuses unless I knew the model year of your car.
Good luck.
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