This is a two part question- ...
First off, do you think the idea of building a Clock Tower (With the Pathfinders setting of Tech level) would be out of the question?
Second- How much do you think it would cost to build something like that?
No. There are clockwork golems and firearms. You're good, tech-wise.
4,500 gp for materials? I'm not sure.
No clue what they'd cost, but you're fine on the tech level for even grandfather clock-sized timepieces. Though clocks that small would be the reserve of the very, very wealthy.
Even if you want to say that the escapement hasn't been invented yet, water clocks of increasing mechanical complexity have been in use since around 1400 BC.
I'm glad to hear everyone seems to think that a Clock Tower isn't out of the question (which is good).. but that leave me with the more important question on my mind- ... How much would something like that cost to make?
4,500 gp for materials? I'm not sure.
It just seems rather cheap to me (bbbuutt- then again.. I don't have any other building costs to go off of...).
As for price, add the cost of a tower to the cost of a big clock.
How much would that be though? XD
If you have the Stronghold Builder's Guidebook you can get a solid cost for the size of tower you'd like to use. Then you can ballpark the cost of the internal mechanics by, say, doubling or tripling the cost.
But how much did it cost? :)
Just keep in mind that the prices in the Stronghold Builder's Guide are skewed towards the über expensive.