First we must understand what cloning is. With artificial insemination, the egg has sperm inserted by human intervention to start the growth of the new animal or person. That is, the egg of the parent is fertilized by introduced sperm cells rather than letting the little critters randomly swim to the egg. With surrogate parents, the egg and sperm of the donors are artificially fertalized and implanted in a host womb, usually because the natural mother isn't able to carry a child for one reason or another. Cloning takes this to another level. Rather than fertalizing an egg with a sperm cell, both of which contain the genetic material that organizes the mytocis of one cell into a viable animal, a cell is introduced with the gentic material from a donor and allowed to divide naturally until it produces an identicle animal as the donor. That is, the offspring will be exactly like the donor, be it cow, pig, chicken, or human. The cell will progress through all stages of development, just as the cel in a fertalized egg progresses.
Simply stated, cloning is another way of jump-starting the cell mitosis that results in a living organism.
Some of my explanation may be skewed a bit as I haven't studied cloning in 30-plus years. But essentially, it should convey the correct principle. As Andy stated, meat from a cloned animal is no different than meat from an animal brought into the world by a bull and cow getting together on a moonlit night.
Another useful and interesting side issue is growing skin, which is actually a type of cloning whereby several skin cells are immersed in a nutrient bath and allowed to grow on an artificial surface. When there is enough of this "artificially" grown skin, it is used to replace the host skin that may have been lost to injury or burns. The body accepts the skin rather than rejecting it because it is identical to the skin that already grows on the person. Food for thought. Good science, bad science, it depends on who's using it and the motivation and use.
Seeeeeya; Goodweed of the North