analog clock vs digital clock: pros and cons

You need one clock that conveys the history and one of the present day! The wooden body, the levers and the tick-tack from the mechanical clockwork, arms on the clock and flag are a piece of beauty- and there are enough of them being handed down for generations Increment, on the other hand, is so ingenious that you'd want it, too.

So look for an analogue clock and get it if you see one you really like. It is a matter of opportunity. There is one? Fine. If not, get the digital clock first, and look for a good analogue opportunity later.

With analogue clocks, check- and if you buy online take the time to ask- if both clockworks are running fine. Sometimes, a clock has already received maintenance over time. Analogues, in the long run, need being cleaned by a clock maker.

Some old clocks have run as long as in steady use- and then only do a few ticks and stop when you want to revive them. Sometimes the seller does not think of that. They will usually work after cleaning. But as it will be a substantial part of the cost, you'd want to know. 

What do you mean, analogue benefits and digitals easier to set up?  

For practical use the chess.com chess clock app (free) is pretty much all that you need.