Harold and Alan,
the best way to find out what tools you need is by doing the work. People will suggest all sorts of tools and you can end up with a lot of stuff that is not so important just by thinking you might need it. Do the job on the clock or watch and you will soon learn what you cant do without and what gets left at the back of the workshop. It doesnt need to be bought all in one go and some of the tools are not difficult to make yourself. Try not to get too bogged down with the tooling, repair the clocks and watches and enjoy it.