Paley's watch remains one of the most famous arguments for design being produced by a designer. Of course the world and creationist discourse has moved on, but there are those who keep running the arguments of previous centuries and thinking they are cool in so doing.
The typical pro discussion runs this way.
But there's more:
I wonder if a watch is truly complex. It is ordered, no doubt, but it is fairly simple even as machines go: cogs and springs, essentially. Although the dependency chains from any component would be staggering, let alone the interactions between the chains to produce a watch.
However, I think the issue is that coming across a watch in a field we come across something that is not in equilibrium with its environment and that could not be produced by any local equilibrating process. It has very low entropy and very high specified information producing a radical disequilibrium in an artifact with strongly specified function. A mechanism/s is required to achieve this state in the absence of disequilibrating process.
The heart of Paley's argument is that this state is typically and reasonably achieved by a designer; that is, one who applies intelligence to the organisation of materials and processes, rather than the stochastic interplay of 'natural' factors which produce equilibrium even in the short run.