To enhance the value of Sunday to the crew, they are allowed on that day a pudding, or, as it is called, a ``duff.'' This is nothing more than flour boiled with water, and eaten with molasses. It is very heavy, dark, and clammy, yet it is looked upon as a luxury, and really forms an agreeable variety with salt beef and pork. Many a rascally captain has made up with his crew, for hard usage, by allowing them duff twice a week on the passage home. On board some vessels Sunday is made a day of instruction and of religious exercises; but we had a crew of swearers, from the captain to the smallest boy; and a day of rest, and of something like quiet, social enjoyment, was all that we could expect. We continued running large before the northeast trade-winds for several days, until Monday-- September 22d, when, upon coming on deck at seven bells in the morning, we found the other watch aloft throwing water upon the sails; and, looking astern, we saw a small clipper-built brig with a black hull heading directly after us. We went to work immediately, and put all the canvas upon the brig which we could get upon her, rigging out oars for extra studding-sail yards, and continued wetting down the sails by buckets of water whipped up to the mast-head, until about nine o'clock, when there came on a drizzling rain. The vessel continued in pursuit, changing her course as we changed ours, to keep before the wind. The captain, who watched her with his glass, said that she was armed, and full of men, and showed no colors. We continued running dead before the wind, knowing that we sailed better so, and that clippers are fastest on the wind. We had also another advantage. The wind was light, and we spread more canvas than she did, having royals and sky-sails fore and aft, and ten studding-sails; while she, being an hermaphrodite brig, had only a gaff topsail aft. Early in the morning she was overhauling us a little, but after the rain came on and the wind grew lighter, we began to leave her astern. All hands remained on deck throughout the day, and we got our fire-arms in order; but we were too few to have done anything with her, if she had proved to be what we feared. Fortunately there was no moon, and the night which followed was exceedingly dark, so that, by putting out all the lights on board and altering our course four points, we hoped to get out of her reach. We removed the light in the binnacle, and steered by the stars, and kept perfect silence through the night. At daybreak there was no sign of anything in the horizon, and we kept the vessel off to her course.