This section is from "Scientific American Supplement". Also available from Amazon: Scientific American Reference Book.
Now with these equipments, and some others, not herein named, such as vise, file block, bench stake or anvil, and a large variety of such tools as will accumulate, I am ready to give you my ideas regarding the cleaning and repairing of watches. First and foremost, do not undertake any job that you have any or considerable doubt but what you can do successfully, and never leave a job worse than you found it; and never mar, cut, or slash any part of a watch. In other words, don't undertake a job that you have doubts as to whether you can do it correctly. One of my old masters told me never to undertake to improve on the maker's work, and this, while not true in every case (particularly cheap watches), yet is a safe rule to go by. Never allow your file, screwdriver, pliers, tweezers, or any tool to deface any part of a watch. I shall speak of this as I proceed. First, be careful and not let the movement swing so as to in any way injure the balance, in taking from case, and if a lever watch, take out the balance the first thing after getting out of case. Now see that the mainspring is let down and then remove the screws from the plates, taking care not to damage or bend any of the pivots as you do this.
When all in pieces, before you proceed to clean, examine with a strong glass to see if the rim of any wheel is rubbing or clashing with anything, particularly the center wheel in any full plate American watch, for these wheels are often dragging on the plate or striking the ratch wheel because it is not true, and if examined before cleaning the places where it drags, are a tell-tale of the mischief. Also make any diagnosis of the watch that is needed to discover any errors from wear or accident, and correct them before going further, such as looking to each jewel, pivot, and other parts, and make all necessary repairs before cleaning. I have been in the habit for several years of putting my balance wheel separate from all connections, and trying its freedom in all positions, and if you will try this method, you will be surprised how many you will find that bind or are not perfectly free in all positions, when you give them the very slightest impulse by a twirl of the hand, holding the plate. Then, too, a careful examination of each jewel; you will be surprised how many are either loose in the setting or plate.
In regard to cleaning, I use the old method (after trying all ways suggested) - that of chalk (but I use the old lump chalk, for those carpenters' chalk balls are made with some kind of paste that adheres to the plate) - and have this lump of chalk at my right hand, in a perforated bottom box, so that any coarse pieces fall through to the floor, and by rubbing the brush across it and then giving it a slight rap, before applying it to plate, any hard or heavy substance will fall out, and then with light pressure with the brush that is medium soft (and prepared on grindstone as before mentioned, if a new one) brush the plates, with an occasional breathing on the surface, clean the old oil or tarnish, and then peg out each hole many times, until you are sure every hole is clean, by pegging both sides, and then with a soft dust brush dust thoroughly by striking the brush into the holes on both sides. Of course, remove all end stones, and clean out with soft pith, holding the jewels in a pair of hook nose tweezers, mentioned.
Should the plates and wheels be very much soiled and oily, a covered dish of alcohol is indispensable, and I have had a glass stopper bottle, with ether, in which to dip the jewels, pallets, and other small pieces, which takes the oil all off, but be sure and clean off with soft pith or pegwood such pieces as you have thus dipped. This ether will carry all loose lint or other things to its bottom, from hairsprings or roller table, and if held but a moment will do effective work, and not loosen shellac.
Regarding loose jewels, I am not so sentimental as to refuse using some shellac, if the burnished lip has been so thin as to be partially gone, thus loosening the jewel to hold in the jewel, by taking small and minute particles, and placing around the edge of the jewel, and then holding the plate or bridge over an alcohol flame, and allowing the shellac to flow around the jewel and fasten it firm, and by this process I have kept jewels firm in place for years, with no other attention than the first, and as a rule this can be done and not show. When you have thoroughly cleaned the different parts, holding everything with soft tissue paper, then with the paper put the watch together, never forcing any part into place, and when screwed or pinned together, try every wheel to see that there is the proper end and side shake to each pivot, then introduce the balance wheel, having been once tried alone as described, and see that the banking pins are so adjusted that the guard pin on the fork (lever) does not drag on either side, and that the jewel pin enters the slot, clearing the opposite corner, and that the guard pin is so in position that it will not allow the pin to pass by at any point and bring the jewel pin outside the lever, or so it will strike in hollow, or on the corners of the hollow of the roller.
When you have oiled each pivot exactly on its connecting point of bearing with just the right amount of oil (of course, oil those jewels having end stones before putting watch together), your watch is ready for the dial, and in replacing the hands you cannot be too particular about their being free and clearing each other and the dial and glass. There is the care of the mainspring I have intentionally reserved till the last. There are lots of theories why a spring will break just after cleaning, but I only know that since I have adopted the method of never taking out the spring (except when, after taking off the cap of barrel, I find it is all gummed up with bad oil, and then of course clean it) I have found that a spring does not break any oftener than is common, even if the watch is not cleaned; but I invariably remove the barrel arbor and clean out the holes and the arbor itself.
 
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