The weather continuing to be moderate, with gentle breezes from NW. to N.NE., this morning the work commenced at the rock at half-past 6, and the boats left it again at a quarter from 9, after the artificers had been at work two hours and a half. [Sidenote: Light-house Yacht becomes a Tender to the works.] The writer was made happy to-day, by the return of the Light-house Yacht, from a voyage to the Northern Light-houses. She had sailed from the Bell Rock on the 5th of last month for the Orkneys, and had passed the Western Islands to the Clyde, returning to the eastern coast by the Forth and Clyde Canal, after having discharged stores at the several Light-houses in her track. The arrival of this vessel was a great relief, as she brought a set of moorings with her for the floating-light, which still rode at single anchor. Having immediately removed on board of this fine vessel of eighty-one tons register, the artificers gladly followed, for, though they found themselves more pinched for accommodation on board of the Yacht, and still more so in the Smeaton; yet they greatly preferred either of these to the Pharos or floating-light, on account of her rolling motion, though in all respects fitted up for their conveniency. [Sidenote: Artificers agree to remain at the rock after their engagement had expired.] The writer called them to the quarter-deck, and informed them that having been one month afloat, in terms of their agreement, they were now at liberty to return to the work-yard at Arbroath, if they preferred this to continuing at the Bell Rock. But they replied, that, in the prospect of soon getting the beacon erected upon the rock, and having made a change from the floating-light, they were now perfectly reconciled to their situation, and would remain afloat till the end of the working season. This was considered a matter of the greatest importance to the success of the work; for, from the circumstances of the bad weather, and the drifting of the floating-light, it seemed extremely doubtful but the whole of the workmen might have been induced to go on shore, which would have deterred others from embarking in this perilous service, at so advanced a period of the season. At all events, it must have required no small trouble to have brought a new set of men to expertness in the minutiæ of the traffic in boats, and getting in and out of the vessels. Of those who had originally come off to the work on the 17th of August, only one man, already alluded to, who was a great martyr to sea-sickness, had returned to the work-yard. [Sidenote: Thursday, 17th.] [Sidenote: Accident happens to one of the boats.]