Q.when is the best month to plant lemon tree clippings
In what month would it be best to plant lemon tree clippings and any instructions you can give me on the care of lemon tree.

Assuming you are referring to a young lemon tree started from a cutting, you'll want to grow it on in a pot until it's at least 12" tall; some people recommend 4' tall. This may take several years. Planting into the ground in late spring would be a good time. Here are some articles on lemon care: https://www.gardeningknowhow.com/edible/fruits/lemons/how-to-grow-a-lemon-tree.htm
https://www.gardeningknowhow.com/edible/fruits/citrus/tip-on-water-requirements-for-citrus-trees.htm
https://www.gardeningknowhow.com/edible/fruits/lemons/learn-about-fertilizer-for-a-lemon-tree.htm
https://www.gardeningknowhow.com/edible/fruits/lemons/lemon-tree-not-fruiting.htm