My 2 cents worth & that doesn't say much.
With Tite Bond 11 with both areas clean and free of oil, a lite application of Tite Bond 11 clamped, not too tight to squeeze out any glue, but just tight enough to keep the wood in place. The bond will be so great you will pull the wood apart elsewhere before you break the glued piece.
If you lose the chip, make a perfectly square of wood slightly larger than the chip was, then cut a square hole out of the stock, then carefully fit the square piece of wood previously mentioned into the missing area on the stock.
Match your wood as close to the stock as possible.
After the glued stock has set for at least one hour, then reset the lock back into the lock mortice. Carefully sand the wood to fit the contour of the area where the chip jumped out.
Stain the stock as needed and only you will know where it was amiss.
I have used the milling machine to do the above wood inletting with success. I don't recommend this method to everybody, but it does beat a shaky hand.
PS: you are better to stain the scrap pieces of wood prior to the above work to match the end product better.
Fred