If i take a clock to a part of the universe that has no time will it stop working ?

No, because you can't.  Time exists in all of the universe.

When would you do that?  Oops!  I forgot, "when" has no meaning outside of time. The universe exists only within time.

Yes, mainly because it will be crushed into part of a collapsar.

All of creation follows the physcial laws God gave it, including time

You cannot escape time, and at the same time, time is an illsuion, for whenever it is, it is always now

The clock will continue to operate normally. 

Clocks do not run based on whether or not time is taking place.

If you bring the clock there, then you are bringing time there.

I cannot give a better or more concise answer than El Nerdo Loco.

-𝒞ℴ𝓇𝓋𝓊𝓈 ℬ𝓁𝒶𝒸𝓀𝓉𝒽ℴ𝓇𝓃ℯ

Did you think to wind it or is it a digital quartz?

Hollow-Earth has no time, in their world.

Depending on what part of the persons'

body (right down to their DNA) is active,

determines what time it is. That's how aliens 

measure time,  by analyzing their DNA. 

Like past the event horizon of a black hole? If the clock could actually stay intact, from the clock's perspective, it'd be working normally. But from our perspective, it'd be frozen at the event horizon and never tick again.